Preprints 2007-2009

• December, 2009

  • A simple construction of almost-Euclidean subspaces of $\ell_1^N$ viatensor products by Piotr Indyk and Stanislaw Szarek.

  • A new metric invariant for Banach spaces by F. Baudier, N. J. Kalton, and G. Lancien.

  • A coanalytic rank on super-ergodic operators by Mohammed Yahdi.

  • On the smallest L_2 projection of a curve in R^n by Mark Kozdoba.

  • Some new thin sets of integers in Harmonic Analysis by Daniel Li, Herve Queffelec, Luis Rodriguez-Piazza.

  • Restricted eigenvalue conditions on subgaussian random matrices by Shuheng Zhou.

  • Weighted composition operators as Daugavet centers by Romain Demazeux.

  • On the Rademacher maximal function by Mikko Kemppainen.

  • Some translation-invariant Banach function spaces which contain $c_0$ by Pascal Lefevre, Daniel Li, Herve Queffelec, and Luis Rodriguez-Piazza.

  • Borel reducibility and Holder($\alpha$) embeddability between Banach spaces by Longyun Ding.

  • A dichotomy for the number of ultrapowers by Ilijas Farah and Saharon Shelah.

• November, 2009

  • Stafney's lemma holds for several "classical" interpolation methods by Alon Ivtsan.

  • Minimal sequences and the Kadison-Singer problem by W. Lawton.

  • On best proximity points in metric and Banach spaces by Rafa Espinola and Aurora Fernandez-Leon.

  • An elementary proof of the Restricted Invertibility Theorem by Daniel A. Spielman and Nikhil Srivastava.

  • On the Homothety Conjecture by Elisabeth M. Werner and Deping Ye.

  • Approximating the moments of marginals of high dimensional distributions by Roman Vershynin.

• October, 2009

  • SIC-POVMs: A new computer study by A. J. Scott and M. Grassl.

  • Free probability theory by Roland Speicher.

  • Two remarks on primary spaces by Paul F.X. Mueller.

  • Stochastic integration in Banach spaces using a product structure with partial order by Joris Bierkens and Onno van Gaans.

  • Daugavet centers by T. Bosenko and V. Kadets.

  • A weak Hilbert space with few symmetries by Spiros A. Argyros, Kevin Beanland, and Theocharis Raikoftsalis.

  • Spreading models in the duals of Schlumprecht-type spaces by Kevin Beanland and Frank Sanacory.

  • Extending polynomials in maximal and minimal ideals by Daniel Carando and Daniel Galicer.

  • Greedy bases for Besov spaces by S. J. Dilworth, D. Freeman, E. Odell and Th. Schlumprecht.

  • No return to convexity by Jakub Onufry Wojtaszczyk.

  • Non-additivity of Renyi entropy and Dvoretzky's Theorem by Guillaume Aubrun, Stanislaw Szarek, and Elisabeth Werner.

  • On shrinking and boundedly complete schauder frames of Banach spaces by Rui Liu.

  • The inclusion of the Schur algebra in B(l^2) is not inverse-closed by Romain Tessera.

  • Characterization of approximation schemes satisfying Shapiro's theorem by J. M. Almira.

  • Towards a calculus for non-linear spectral gaps [extended abstract] by Manor Mendel and Assaf Naor.

  • Some geometric and topological properties of a new sequence spacedefined by De la Vallee-Poussin mean by Necip Simsek, Ekrem Savas, and Vatan Karakaya.

  • Finitely fibered Rosenthal compacta and trees by Wieslaw Kubis.

  • Aronszajn's criterion for Euclidean space by R.D. Arthan.

  • On holomorphic domination, I by Imre Patyi.

  • Additive maps preserving the reduced minimum modulus of Banach space operators by Abdellatif Bourhim.

• September, 2009

  • Rearrangements with supporting trees, isomorphisms and combinatorics ofcoloured dyadic intervals by Anna Kamont and Paul F. X. Mueller.

  • On a characterization of separable dual Banach spaces through determinant subspaces of attaining-norm linear forms by Stefano Rossi.

  • Relative entropy of cone measures and $L_p$ centroid bodies by Grigoris Paouris and Elisabeth M. Werner.

  • A nonlinear approach to dimension reduction by Lee-Ad Gottlieb and Robert Krauthgamer.

  • New thoughts on the vector-valued Mihlin-H\"ormander multiplier theorem by Tuomas P. Hytonen.

  • Examples of discontinuous maximal monotone linear operators and the solution to a recent problem posed by B.F. Svaiter by Heinz H. Bauschke, Xianfu Wang, and Liangjin Yao.

  • (Non-)amenability of B(E) by Volker Runde.

  • On Khintchine inequalities with a weight by Mark Veraar.

  • On remotality for convex sets in Banach spaces by Miguel Martin and T.S.S.R.K. Rao.

• August, 2009

  • Lie groups associated to H"older-continuous functions by Rafael Dahmen.

  • Mixed modulation spaces and their application to pseudodifferentialoperators by Shannon Bishop.

  • Pointwise symmetrization inequalities for Sobolev functions and applications by Joaquim Martin and Mario Milman.

  • An ordinal index on the space of strictly singular operators by Kevin Beanland.

  • Uniform convexity and the splitting problem for selections by Maxim V. Balashov and Dusan Repovs.

  • Operators on asymptotic $\ell_p$ spaces which are not compact perturbations of a multiple of the identity by Kevin Beanland.

  • On Y. Nievergelt's inversion formula for the Radon transform by Elena Ournycheva and Boris Rubin.

  • Banach SSD spaces and classes of monotone sets by Stephen Simons.

• July, 2009

  • Sharp quantitative isoperimetric inequalities in the $L^1$ Minkowski plane by Benoit Kloeckner.

  • Complex symmetric partial isometries by Stephan Ramon Garcia and Warren R. Wogen.

  • On the hereditary proximity to $\ell_1$ by Spiros A. Argyros, A. Manoussakis, and Anna M. Pelczar.

  • The geometry of Euclidean convolution inequalities and entropy by Dario Cordero-Erausquin and Michel Ledoux.

  • Banach spaces which embed into their dual by V.Capraro and S.Rossi.

  • Complex geodesics on convex domains by Sean Dineen and Richard M. Timoney.

  • Corrigendum to [Approximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces, J. Funct. Anal. 252 (2007), no. 1, 34--41.] by R. Fry and L. Keener.

• June, 2009

  • Representation of certain homogeneous Hilbertian operator spaces and applications by Marius Junge and Quanhua Xu.

  • Complex interpolation of weighted noncommutative $L_p$-spaces by Eric Ricard and Quanhua Xu.

  • The Kolmogorov-Riesz compactness theorem by Harald Hanche-Olsen and Helge Holden.

  • Atomic decomposition and interpolation for Hardy spaces of noncommutative martingales by Turdebek N. Bekjan, Zeqian Chen, Mathilde Perrin and Zhi Yin.

  • A noncommutative Davis' decomposition for martingales by Mathilde Perrin.

  • A Banach-Stone theorem for Riesz isomorphisms of Banach lattices by Jin Xi Chen, Zi Li Chen, and Ngai-Ching Wong.

  • Embeddings of proper metric spaces into Banach spaces by Baudier Florent.

  • Unconditionality in tensor products and ideals of polynomials, multilinear forms and operators by Daniel Carando and Daniel Galicer.

  • Smooth extensions of functions on separable Banach spaces by D. Azagra, R. Fry, L. Keener.

  • Majorization in de Branges spaces II. Banach spaces generated by majorants by Anton Baranov and Harald Woracek.

  • Counterexamples for interpolation of compact Lipschitz operators by Michael Cwikel and Alon Ivtsan.

  • Vector measures of bounded gamma-variation and stochastic integrals by Jan van Neerven and Lutz Weis.

  • Separating maps between spaces of vector-valued absolutely continuous functions by Luis Dubarbie.

  • Systems formed by translates of one element in $L_p(\mathbb R)$ by E. Odell, B. Sari, Th. Schlumprecht, and B. Zheng.

  • Biseparating maps on generalized Lipschitz spaces by Denny H. Leung.

  • Banach-Stone Theorems for maps preserving common zeros by Denny H. Leung and Wee-Kee Tang.

• May, 2009

  • Operator machines on directed graphs by Petr Hajek and Richard J. Smith.

  • Functions with prescribed best linear approximations by P. L. Combettes and N. N. Reyes.

  • On the convergence of greedy algorithms for initial segments of the Haar basis by S.J. Dilworth, E. Odell, Th. Schlumprecht, and A. Zsak.

  • A note on lineability by G. Botelho, D. Diniz, D. Pellegrino and E. Teixeira.

  • Dominated bilinear forms and 2-homogeneous polynomials by G. Botelho, D. Pellegrino and P. Rueda.

  • On the maximization of a class of functionals on convex regions, and the characterization of the farthest convex set by Evans Harrell and Antoine Henrot.

  • A local Mazur-Ulam theorem by Osamu Hatori.

  • A remark on the Mahler conjecture: local minimality of the unit cube by Fedor Nazarov, Fedor Petrov, Dmitry Ryabogin, and Artem Zvavitch.

  • Constructions of sequential spaces by Jarno Talponen.

  • The infinite dimensional restricted invertibility theorem by Peter G. Casazza Goetz E. Pfander.

• April, 2009

  • $L_p$ compression, traveling salesmen, and stable walks by Assaf Naor and Yuval Peres.

  • Tree metrics and their Lipschitz-free spaces by Alexandre Godard.

  • Commutators on $\ell_{\infty}$ by Detelin Dosev and William B. Johnson.

  • Weak compactness and Orlicz spaces by Pascal Lefevre, Daniel Li, Herve Queffelec, and Luis Rodriguez-Piazza.

  • On the isotropy constant of projections of polytopes by David Alonso-Gutierrez, Jesus Bastero, Julio Bernues, and Pawel Wolff.

  • On some random thin sets of integers by Daniel Li, Herve Queffelec, Luis Rodriguez-Piazza.

  • A discretized approach to W.T. Gowers' game by V. Kanellopoulos and K. Tyros.

  • Comparison of matrix norms on bipartite spaces by Christopher King and Nilufer Koldan.

  • The universality of $\ell_1$ as a dual space by Daniel Freeman, Edward Odell, and Thomas Schlumprecht.

• March, 2009

  • Eigenfunctions for hyperbolic rcmposition roerators---redux by Joel H. Shapiro.

  • A hereditarily indecomposable L_\infty-space that solves the scalar-plus-compact problem by Spiros A Argyros and Richard G Haydon.

  • Linear operators with compact supports, probability measures and Milyutin maps by Vesko Valov.

  • On generalizations of Gowers norms and their geometry by Hamed Hatami.

  • Kolmogorov compactness criterion in variable exponent Lebesgue spaces by Humberto Rafeiro.

  • Hausdorff measures and functions of bounded quadratic variation by D.Apatsidis, S.A.Argyros, and V.Kanellopoulos.

  • On the numerical index of real $L_p(\mu)$-spaces by Miguel Martin, Javier Meri, and Mikhail Popov .

  • Zero subspaces of polynomials on l1(Gamma) by Antonio Aviles and Stevo Todorcevic.

  • J-class operators and hypercyclicity by George Costakis and Antonios Manoussos.

  • Properties of representations of operators acting between spaces of vector-valued functions by Delio Mugnolo and Robin Nittka.

  • Positive definite functions and multidimensional versions of random variables by Alexander Koldobsky.

  • Weakly countably determined spaces of high complexity by Antonio Aviles.

  • Cotype and absolutely summing linear operators by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda.

  • The Schur l1 Theorem for filters by Antonio Avil'es, Bernardo Cascales, Vladimir Kadets, and Alexander Leonov.

  • Automorphisms in spaces of continuous functions on Valdivia compacta by Antonio Aviles and Yolanda Moreno.

  • Expansion properties of metric spaces not admitting a coarse embedding into a Hilbert space by M.I. Ostrovskii.

  • The number of weakly compact convex subsets of the Hilbert space by Antonio Aviles.

  • Renormings of the dual of James tree spaces by Antonio Aviles.

  • Automatic norm continuity of weak* homeomorphisms by Antonio Aviles.

  • The unit ball of the Hilbert space in its weak topology by Antonio Aviles.

• February, 2009

  • Countable products of spaces of finite sets by Antonio Aviles.

  • The number of weakly compact sets which generate a Banach space by Antonio Aviles.

  • Thickness of the unit sphere, $\ell_1$-types, and the almost Daugavet property by Vladimir Kadets, Varvara Shepelska and Dirk Werner.

  • Operator Spaces which are one-sided M-Ideals in their bidual by Sonia Sharma.

  • An interpolatory estimate for the UMD-valued directional Haar projection by R. Lechner.

  • Weak operator topology, operator ranges and operator equations via Kolmogorov widths by M.I. Ostrovskii and V.S. Shulman.

  • Banach spaces with many boundedly complete basic sequences failing PCP by Gines Lopez Perez.

  • Two-dimensional Banach spaces with polynomial numerical index zero by Domingo Garcia, Bogdan Grecu, Manuel Maestre , Miguel Martin, and Javier Meri .

  • Haar type and Carleson constants by Stefan Geiss and Paul F. X. Mueller.

  • Extrapolation of vector valued rearrangement operators by Stefan Geiss and Paul F. X. Mueller.

  • Strictly singular uniform $\lambda-$adjustment in Banach spaces by Boris Burshteyn.

  • Angles and polar coordinates in real normed spaces by Volker Thuerey.

  • Thin sets of integers in Harmonic analysis and p-stable random Fourier series by Pascal Lefevre, Daniel Li, and Herve Queffelec , Luis Rodriguez-Piazza.

  • Compensated compactness, separately convex functions and interpolatoryestimates between Riesz transforms and Haar projections by Jihoon Lee, Paul F. X. Mueller and Stefan Mueller .

  • Fixed points of groups of biholomorphic transformations of operator balls using the midpoint property by M.I. Ostrovskii, V.S. Shulman, and L. Turowska.

  • Hereditarily indecomposable Banach algebras of diagonal operators by Spiros A. Argyros, Irene Deliyanni, and Andreas G. Tolias.

  • Isoperimetric and concentration inequalities - Part I: Equivalence undercurvature lower bound by Emanuel Milman.

  • Extrapolation of vector valued rearrangment operators II by Paul F. X. Mueller.

  • Noncommutative hyperbolic geometry on the unit ball of $B(H)^n$ by Gelu Popescu.

  • Uniformly convex-transitive function spaces by Fernando Rambla-Barreno and Jarno Talponen.

  • Norm optimization problem for linear operators in classical Banach spaces by Daniel Pellegrino and Eduardo V. Teixeira.

  • Representation and approximation of positivity preservers by Tim Netzer.

• January, 2009

  • On the complexity of the uniform homeomorphism relation between separable Banach spaces by Su Gao, Steve Jackson, and Bunyamin Sari.

  • An answer to the invariant subspace problem by Yun-Su Kim.

  • $C^k$-smooth approximations of LUR norms by Petr Hajek and Antonin Prochazka.

  • Strict p-negative type of a semi-metric space by Hanfeng Li and Anthony Weston.

  • On orthogonal matrices maximizing the 1-norm by Teodor Banica, Benoit Collins, and Jean-Marc Schlenker.

  • Maurey's factorization theory for operator spaces by Marius Junge and Javier Parcet.

  • A general Pettis integral and applications to transition semigroups by Markus Kunze.

  • Isometries on extremely non-complex Banach spaces by Piotr Koszmider, Miguel Martin and Javier Meri .

  • Tensor extension properties of C(K)-representations and applications to unconditionality by Christoph Kriegler and Christian Le Merdy.

  • Almost invariant half-spaces of operators on Banach spaces by George Androulakis, Alexey I. Popov, Adi Tcaciuc and Vladimir G. Troitsky.

  • Weak$^*$ dentability index of spaces $C([0,\alpha])$ by Petr Hajek, Gilles Lancien and Antonin Prochazka.

• December, 2008

  • Quasiminimality in mixed Tsirelson spaces by Antonis Manoussakis and Anna Maria Pelczar.

  • A note on fragmentability and weak-G_delta sets by V. P. Fonf, R. J. Smith and S. Troyanski.

  • Inequalities for mixed $p$-affine surface area by Elisabeth Werner and Deping Ye.

  • Operator algebras with unique preduals by Kenneth R. Davidson and Alex Wright.

  • Spectral norm of products of random and deterministic matrices by Roman Vershynin.

  • On a new type concept for Banach spaces by Robin Nittka.

  • Factorization theorems for dominated polynomials by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda.

  • Comparison of volumes of convex bodies in real, complex, and quaternionic spaces by Boris Rubin.

• November, 2008

  • Unconditional bases and strictly convex dual renormings by R. J. Smith and S. Troyanski.

  • Preduals of semigroup algebras by Matthew Daws, Hung Le Pham, and Stuart White.

  • A unified Pietsch domination theorem by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda.

  • The Banach space-valued BMO, Carleson's condition, and paraproducts by Tuomas Hytonen and Lutz Weis.

  • Decompositions, approximate structure, transference, and the Hahn-Banach theorem by W. T. Gowers.

  • Spaces of operator-valued functions measurable with respect to the strong operator topology by Oscar Blasco and Jan van Neerven.

  • Compositions of projections in Banach spaces and relations between approximation properties by M.I. Ostrovskii.

  • Sufficient enlargements of minimal volume for finite dimensional normed linear spaces by M.I. Ostrovskii.

  • A note on the Busemann-Petty problem for bodies of certain invariance by Marisa Zymonopoulou.

  • General Hormander and Mikhlin conditions for multipliers of Besov spaces by Rishad Shahmurov.

  • Convexity and smoothness of Banach spaces with numerical index one by Vladimir Kadets, Miguel Martin, Javier Meri, and Rafael Paya .

  • Extremely non-complex C(K) spaces by Piotr Koszmider, Miguel Martin, and Javier Meri .

  • A note on lineability of sets of bounded non-absolutely summing operators by G. Botelho, D. Diniz and D. Pellegrino.

• October, 2008

  • Approximation by Lipschitz, analytic maps on certain Banach spaces by R. Fry and L. Keener.

  • Sure wins, separating probabilities and the representation of linear functionals by Gianluca Cassese.

  • Remarks on the non-commutative Khintchine inequalities for 0< p < 2 by Gilles Pisier.

  • Infinite asymptotic games by Christian Rosendal.

  • Estimates for covering numbers in Schauder's theorem about adjoints of compact operators by Michael Cwikel and Eliahu Levy.

  • Approximation by Lipschitz, C^{p} smooth functions on weakly compactly generated Banach spaces by R. Fry.

  • On continuous choice of retractions onto nonconvex subsets by Dusan Repovs and Pavel V. Semenov.

  • Corrigendum to "Approximation by C^{p}-smooth, Lipschitz functions on Banach spaces" [J. Math. Anal. Appl., 315 (2006), 599-605] by R. Fry.

  • Bidual as a weak nonstandard hull by Siu-Ah Ng.

  • $L^1$ is complemented in $L^{\infty *}$ by Javier Guachalla H.

  • On extensions of d.c. functions and convex functions by Libor Vesely and Ludek Zajicek.

  • Convexity of Chebyshev sets in Hilbert spaces by Hadi Haghshenas.

  • A review on some geometric results of the Smulian s theorem on Frechet differentiability of norms by A. Assadi,HADI Haghshenas and H. Hosseini Guive.

  • Convexity of Chebyshev sets through differentiability of distance function by Assadi, Hadi Haghshenas, and Hosseini Guive.

  • Differentiability of Banach spaces via constructible sets by Hadi Haghshenas.

  • On Banach spaces containing $l_p$ or $c_0$ by George Androulakis, Nigel Kalton, and Adi Tcaciuc.

• September, 2008

  • On dominated polynomials between Banach spaces by Geraldo Botelho, Daniel Pellegrino and Pilar Rueda.

  • Hyperinvariant subspace for weighted composition operator on $L^p([0,1]^d)$ by George Androulakis and Antoine Flattot.

  • Coincidences for multiple summing mappings by Geraldo Botelho and Daniel Pellegrino.

  • The group of isometries of a Banach space and duality by Miguel Martin.

  • Banach spaces of bounded Szlenk index II by D. Freeman, E. Odell, Th. Schlumprecht, and A. Zsak.

  • The vector-valued non-homogeneous Tb theorem by Tuomas Hytonen.

  • Commutators on $\ell_1$ by Detelin Dosev.

  • Asymptotic unconditionality by S. R. Cowell and N. J. Kalton.

  • Slicely countably determined Banach spaces. Applications to the Daugavetand the alternative Daugavet equations by Antonio Aviles, Vladimir Kadets, Miguel Martin, Javier Meri, and Varvara Shepelska.

  • General Lp affine isoperimetric inequalities by Christoph Haberl and Franz E. Schuster.

  • New examples of $c_0$-saturated Banach spaces II by Ioannis Gasparis.

  • New examples of $c_0$-saturated Banach spaces by Ioannis Gasparis.

  • Special symmetries of Banach spaces isomorphic to Hilbert spaces by Jarno Talponen.

  • Duality in spaces of finite linear combinations of atoms by Fulvio Ricci and Joan Verdera.

  • Uniform convergence for convexification of dominated pointwise convergent continuous functions by Zoltan Kannai.

• August, 2008

  • Fourier transform of function on locally compact Abelian groups taking value in Banach spaces by Yauhen Radyna and Anna Sidorik.

  • Differentiability of Lipschitz maps from metric measure spaces to Banach spaces with the Radon Nikodym property by Jeff Cheeger and Bruce Kleiner.

  • The Haar system in the preduals of hyperfinite factors by Denis Potapov and Fyodor Sukochev.

  • How much incomputable is the separable Hahn-Banach theorem? by Guido Gherardi and Alberto Marcone.

  • Compact multipliers on spaces of analytic functions by Pawel Mleczko.

• July, 2008

  • Multilinear Holder-type inequalities on Lorentz sequence spaces by Daniel Carando, Veronica Dimant and Pablo Sevilla-Peris.

  • Biseparating maps between Lipschitz function spaces by Jesus Araujo and Luis Dubarbie.

  • A version of Lomonosov's theorem for collections of positive operators by Alexey I. Popov and Vladimir G. Troitsky.

  • The Littlewood--Paley--Rubio de Francia property of a Banach space forthe case of equal intervals by T. P. Hyt"onen, J. L. Torrea, and D. V. Yakubovich.

  • Boundaries for Banach spaces determine weak compactness by Hermann Pfitzner.

  • Optimal lower bounds on the maximal p-negative type of finite metric spaces by Anthony Weston.

  • Saturated extensions, the attractors method and Hereditarily James Tree Space by Spiros A. Argyros, Alexander D. Arvanitakis, and Andreas G. Tolias.

  • Strictly singular non-compact diagonal operators on HI spaces by Spiros A. Argyros, Irene Deliyanni, and Andreas G. Tolias.

  • An exact Ramsey principle for block sequences by Christian Rosendal.

  • The Johnson-Lindenstrauss lemma almost characterizes Hilbert space, but not quite by William B. Johnson and Assaf Naor.

  • The complex Busemann-Petty problem for arbitrary measures by Marisa Zymonopoulou.

  • The modified complex Busemann-Petty problem on sections of convex bodies by Marisa Zymonopoulou.

  • From the Mahler conjecture to Gauss linking integrals by Greg Kuperberg.

• June, 2008

  • Simultaneous packing and covering in sequence spaces by Konrad J. Swanepoel.

  • Column subset selection, matrix factorization, and eigenvalueoptimization by Joel A. Tropp.

  • A criterion of weak compactness for operators on subspaces of Orliczspaces by Pascal Lefevre, Daniel Li, Herve Queffelec, and Luis Rodriguez-Piazzaa.

  • Quotients of Banach spaces with the Daugavet property by Vladimir Kadets, Varvara Shepelska and Dirk Werner.

  • Strong peak points and strongly norm attaining points with applications to denseness and polynomial numerical indices by Jaegil Kim and Han Ju Lee.

• May, 2008

  • A new approach to the Ramsey-type games and the Gowers dichotomy in F-spaces by G. Androulakis, S. J. Dilworth, and N. J. Kalton.

  • Descriptive set theoretic methods applied to strictly singular and strictly cosingular operators by G. Androulakis and K. Beanland.

  • Graph norms and Sidorenko's conjecture by Hamed Hatami.

  • Isometry and symmetrization for logarithmic Sobolev inequalities by Joaquim Martin and Mario Milman.

  • Lattice homomorphisms between Sobolev spaces by Markus Biegert.

  • Hilbert space structure and positive operators by D. Drivaliaris and N. Yannakakis.

  • Subspaces with a common complement in a Banach space by D. Drivaliaris and N. Yannakakis.

  • Approximating with Gaussians by Craig Calcaterra and Axel Boldt.

  • On distribution and almost convergence of bounded sequences by Chao You and Bao Qi Feng.

  • On the nontrivial projection problem by Stanislaw J. Szarek and Nicole Tomczak-Jaegermann.

  • The least singular value of a random square matrix is O(n^{-1/2}) by Mark Rudelson and Roman Vershynin.

  • A note on James spaces and superstrictly singular operators by Isabelle Chalendar, Emmanuel Fricain, and Dan Timotin.

  • On unconditionally saturated Banach spaces by Pandelis Dodos and Jordi Lopez-Abad.

  • On classes of Banach spaces admitting ``small" universal spaces by Pandelis Dodos.

  • On antichains of spreading models of Banach spaces by Pandelis Dodos.

  • Definability under duality by Pandelis Dodos.

  • Unconditional basic sequences in spaces of large density by Pandelis Dodos, Jordi Lopez Abad and Stevo Todorcevic.

  • Embeddings between operator-valued dyadic BMO spaces by Oscar Blasco and Sandra Pott.

• April, 2008

  • A compact null set containing a differentiability point of every Lipschitz function by Michael Doree, Olga Maleva.

  • The isometry group of L^{p}(\mu,\X) is SOT-contractible by Jarno Talponen.

  • Functional inequalities derived from the Brunn-Minkowski inequalities for quermassintegrals by Andrea Colesanti and Eugenia Saorin-Gomez.

  • Conditions implying the uniqueness of the weak$^*$-topology on certain group algebras by Matthew Daws, Hung Le Pham and Stuart White.

  • Functional calculus extensions on dual spaces by Venta Terauds.

  • R-boundedness of smooth operator-valued functions by Mark Veraar and Tuomas Hytonen.

  • A unified construction yielding precisely Hilbert and James sequences spaces by Dusan Repovs and Pavel V. Semenov.

  • Characterization of compact subsets of $\mathcal{A}^p$ with respect to weak topology by Hirbod Assa.

  • Uniform lamda-adjustment and mu-approximation in Banach spaces by Boris Burshteyn.

  • Nikol'skii-type inequalities for rearrangement invariant spaces by Ostrovsky E. Sirota L.

  • Kreps-Yan theorem for Banach ideal spaces by Dmitry B. Rokhlin.

  • Amenability of algebras of approximable operators by Ariel Blanco and Niels Groenbaek .

  • Maximal vectors in Hilbert space and quantum entanglement by William Arveson.

  • Stochastic evolution equations in UMD Banach spaces by J.M.A.M. van Neerven, M.C. Veraar, and L. Weis.

  • Mazur intersection property for Asplund spaces by Miroslav Bacak and Petr Hajek.

  • On the role of convexity in functional and isoperimetric inequalities by Emanuel Milman.

  • Ito's formula in UMD Banach spaces and regularity of solutions of the Zakai equation by Z. Brzezniak, J. M. A. M. van Neerven, M. C. Veraar and L. Weis.

  • Uniform Eberlein spaces and the finite axiom of choice by Marianne Morillon.

• March, 2008

  • Dilations and rigid factorisations on noncommutative L^p-spaces by Marius Junge and Christian Le Merdy.

  • Completely 1-complemented subspaces of Schatten spaces by Christian Le Merdy, Eric Ricard, and Jean Roydor.

  • Rademacher averages on noncommutative symmetric spaces by Christian Le Merdy and Fedor Sukochev.

  • On the sampling and recovery of bandlimited functions via scattered translates of the Gaussian by Th. Schlumprecht and N. Sivakumar.

  • Products and factors of Banach function spaces by Anton R. Schep.

  • Characterizing Hilbert spaces using Fourier transform over the field of p-adic numbers by Yauhen Radyna, Yakov Radyno, and Anna Sidorik.

  • Lecture notes on duality and interpolation spaces by Michael Cwikel.

  • Lindelof type of generalization of separability in Banach spaces by Jarno Talponen.

  • Countable choice and compactness by Marianne Morillon.

  • Extensions of an $AC(\sigma)$ functional calculus by Ian Doust and Venta Terauds.

  • Markov convexity and local rigidity of distorted metrics by Manor Mendel and Assaf Naor.

  • Vertex degrees of Steiner minimal trees in $\ell_p^d$ and other smooth Minkowski spaces by K. J. Swanepoel.

  • The negative association property for the absolute values of random variables equidistributed on a generalized Orlicz ball by Marcin Pilipczuk, Jakub Onufry Wojtaszczyk.

  • The square negative correlation property for generalized Orlicz balls by Jakub Onufry Wojtaszczyk.

  • A series whose sum range is an arbitrary finite set by Jakub Onufry Wojtaszczyk.

  • Banach Spaces with respect to operator-valued norms by Yun-Su Kim.

• February, 2008

  • The smallest singular value of a random rectangular matrix by Mark Rudelson and Roman Vershynin.

  • Coarse embeddability into Banach spaces by M.I. Ostrovskii.

  • On $l^2$ norms of some weighted mean matrices by Peng Gao.

  • Complex interpolation of compact operators mapping into lattice couples by Michael Cwikel.

  • On peak phenomena for non-commutative $H^\infty$ by Yoshimichi Ueda.

  • Bregman distances and Klee sets by Heinz H. Bauschke, Xianfu Wang, Jane Ye and Xiaoming Yuan.

  • On a conjectured inequality in convex analysis in the case of the unit ball of lp^n by D.Karayannakis.

  • Banach spaces with projectional skeletons by Wieslaw Kubis.

  • Contractively complemented subspaces of pre-symmetric spaces by Matthew Neal and Bernard Russo.

  • Complex interpolation between Hilbert, Banach and operator spaces by Gilles Pisier.

• January, 2008

  • Majorizing measures and proportional subsets of bounded orthonormal systems by Olivier Guedon, Shahar Mendelson, Alain Pajor, and Nicole Tomczak-Jaegermann.

  • Continuous multilinear functionals on $C(K)$-spaces are integral by A. Ibort, P. Linares, and J. G. Llavona.

  • Schatten p-norm inequalities related to a characterization of inner product spaces by O. Hirzallah, F. Kittaneh, and M. S. Moslehian.

  • Stability and instability of weighted composition operators by Jesus Araujo and Juan J. Font.

  • Isometric embeddings of compact spaces into Banach spaces by Yves Dutrieux Gilles Lancien.

  • A note on the class of super reflexive almost transitive Banach spaces by Jarno Talponen.

  • Operators on C_{0}(L,X) whose range does not contain c_{0} by Jarno Talponen.

  • Absolutely summing linear operators into spaces with no finite cotype by Geraldo Botelho and Daniel Pellegrino.

  • Noncommutative Riesz transforms I-an algebraic approach by Marius Junge.

  • Lineability of summing sets of homogeneous polynomials by G. Botelho, M. C. Matos and D. Pellegrino.

  • Probability measures and Milyutin maps between metric spaces by V. Valov.

  • Finding left inverses for classes of operators on l^p(Z^d) with some decay conditions by Romain Tessera.

  • On the extremal rays of the cone of positive, positive definite functions by Philippe Jaming, Mate Matolcsi, and Szilard Gy. Revesz.

  • Some remarks on tangent martingale difference sequences in $L^1$-spaces by Sonja Cox and Mark Veraar.

• December, 2007

  • Invariant functions on Grassmannians by Gestur Olafsson and Boris Rubin.

  • Bregman distances and Chebyshev sets by Heinz H. Bauschke, Xianfu Wang, Jane Ye, and Xiaoming Yuan.

  • On the role of convexity in isoperimetry, spectral-gap and concentration by Emanuel Milman.

  • Upper bound for isometric embeddings \ell_2^m\to\ell_p^n by Yuri I. Lyubich.

• November, 2007

  • Coorbit spaces for dual pairs by J. G. Christensen and G. Olafsson.

  • Small Subspaces of L_p by R.Haydon, E.Odell, Th.Schlumprecht.

  • Convex-transitivity and function spaces by Jarno Talponen.

  • Coefficient quantization for frames in Banach spaces by P.G. Casazza, S.J. Dilworth, E. Odell, Th.Schlumprecht, and Andras Zsak.

  • The Effros-Ruan conjecture for bilinear forms on C$^*$-algebras by Uffe Haagerup and Magdalena Musat.

  • Fraisse sequences -- a category-theoretic approach to universal homogeneous structures by W. Kubis.

  • Banach spaces without minimal subspaces by Valentin Ferenczi and Christian Rosendal.

  • Finite dimensional subspaces of noncommutative $L_p$ spaces by Hun Hee Lee.

• October, 2007

  • Some new characterizations of Banach spaces containing $\ell^1$ by Haskell P. Rosenthal.

  • On an extension of the Blaschke-Santalo inequality by David Alonso-Gutierrez.

  • Gruenhage compacta and strictly convex dual norms by Richard J. Smith.

  • Trees, linear orders and G\^ateaux smooth norms by Richard J. Smith.

  • Compactness in vector-valued Banach function spaces by Jan van Neerven.

  • Characterizing arbitrarily slow convergence in the method of alternating projections by H.H. Bauschke, F. Deutsch and H. Hundal.

  • Geometry of sets of quantum maps: a generic positive map acting on a high-dimensional system is not completely positive by Stanislaw J. Szarek, Elisabeth Werner and Karol Zyczkowski.

• September, 2007

  • How can we recover Baire class one functions? by Dominique Lecomte.

  • Characterization of the matrix whose norm is determined by its action ondecreasing sequences: The exceptional cases by Chang-Pao Chen, Chun-Yen Shen, and Kuo-Zhong Wang.

  • Robust dimension reduction, fusion frames, and Grassmannian packings by Gitta Kutyniok, Ali Pezeshki, Robert Calderbank, and Taotao Liu.

  • On maps which preserve equality of distance in F-spaces by Dongni Tan.

  • Note on distortion and Bourgain $\ell_1$ index by Anna Maria Pelczar.

  • Some classes of rational functions and related Banach spaces by R. M. Dudley, Sergiy Sidenko, Zuoqin Wang, and Fangyun Yang .

  • Conical square functions in UMD Banach spaces by Tuomas Hytonen, Jan van Neerven, and Pierre Portal.

  • The extremal volume ellipsoids of convex bodies, their symmetry properties, and their determination in some special cases by Osman Gueler and Filiz Guertuna.

  • Sharp constants related to the triangle inequality in Lorentz spaces by Sorina Barza, Viktor Kolyada, and Javier Soria.

  • On the linear independence of spikes and sines by Joel A. Tropp.

  • Counterexamples for the convexity of certain matricial inequalities by Marius Junge and Quanhua Xu.

• August, 2007

  • Bishop's theorem and differentiability of a subspace of $C_b(K)$ by Yun Sung Choi, Han Ju Lee, and Hyun Gwi Song.

  • Boundaries for algebras of holomorphic functions on Banach spaces by Yun Sung Choi Kwang Hee Han Han Ju Lee.

  • Best constants for Lipschitz embeddings of metric spaces into $c_0$ by N.J. Kalton and G. Lancien.

  • A remark on hypercontractive semigroups and operator ideals by Gilles Pisier.

  • Semilattice structures of spreading models by Denny H. Leung and Wee-Kee Tang.

  • The geometry of Minkowski spaces --- a survey. Part I by Horst Martini, Konrad J Swanepoel and Gunter Weiss.

  • Pointwise estimates for marginals of convex bodies by Ronen Eldan and Boaz Klartag.

  • Embeddings of discrete groups and the speed of random walks by Assaf Naor and Yuval Peres.

  • Multiplication operators on $L(L_p)$ and $\ell_p$-strictly singular operators by William B. Johnson and Gideon Schechtman.

  • Notes on the geometry of space of polynomials by Han Ju Lee.

  • Banach spaces with polynomial numerical index 1 by Han Ju Lee.

• July, 2007

  • A note on curves equipartition by M. A. Lopez and S. Reisner.

  • Tracial gauge norms on finite von Neumann algebras satisfying the weak Dixmier property by Junsheng Fang, Don Hadwin, Eric Nordgren, and Junhao Shen.

  • The complex Busemann-Petty problem on sections of convex bodies by A.Koldobsky, H.Koenig, and M.Zymonopoulou.

  • Isometries for the Carathedory Metric by Marco Abate and Jean-Pierre Vigue.

  • Extremal problems in Minkowski space related to minimal networks by Konrad J Swanepoel.

  • Nice surjections on spaces of operators by T s s R K Rao.

  • Strong convergence of modified Ishikawa iterations for nonlinear mappings by Yongfu Su and Xiaolong Qin.

  • About the isotropy constant of random convex sets by David Alonso-Gutierrez.

  • On strict inclusions in hierarchies of convex bodies by V.Yaskin.

  • Equimeasurabily and isometries in noncommutative Lp-spaces by Mikael de la Salle.

  • A Maurey type result for operator spaces by Marius Junge and Hun Hee Lee.

  • Tsirelson like operator spaces by Hun Hee Lee.

  • Markov type of Alexandrov spaces of nonnegative curvature by Shin-ichi Ohta.

• June, 2007

  • Randomized series and geometry of Banach spaces by Han Ju Lee.

  • Characterizations of the Radon-Nikodym Property in terms of inverse limits by Jeff Cheeger and Bruce Kleiner.

  • Countable groups of isometries on Banach spaces by Valentin Ferenczi and Eloi Medina Galego.

  • The wreath product of Z with Z has Hilbert compression exponent 2/3 by Tim Austin, Assaf Naor, and Yuval Peres.

  • An extension of a Bourgain--Lindenstrauss--Milman inequality by Omer Friedland and Sasha Sodin.

  • Characterization of the matrix whose norm is determined by its action on decreasing sequences by Chang-Pao Chen, Hao-Wei Huang, and Chun-Yen Shen.

  • On the fixed point property in direct sums of Banach spaces with strictly monotone norms by Stanislaw Prus and Andrzej Wisnicki.

  • A new infinite game in Banach spaces with applications by Edward Odell, Thomas Schlumprecht and Andras Zsak.

  • Quotients of continuous convex functions on nonreflexive Banach spaces by P. Holicky, O. Kalenda, L. Vesely, and L. Zajicek.

  • Trees and Markov convexity by James R. Lee, Assaf Naor, and Yuval Peres.

  • On compositions of d.c. functions and mappings by L. Vesely and L. Zajicek.

  • Operator space Lp embedding theory I by Marius Junge and Javier Parcet.

• May, 2007

  • The Euclidean distortion of the lamplighter group by Tim Austin, Assaf Naor, and Alain Valette.

  • Pointwise convergence for semigroups in vector-valued $L^p$ spaces by Robert J Taggart.

  • Interaction of order and convexity by S.S. Kutateladze.

  • Strong peak points and denseness of strong peak functions by Han Ju Lee.

  • Convex-transitive characterizations of Hilbert spaces by Jarno Talponen.

  • Weakly null sequences with upper estimates by Daniel Freeman.

• April, 2007

  • Metrical characterization of super-reflexivity and linear type of Banach spaces by Florent Baudier.

  • Even infinite dimensional real Banach spaces by Valentin Ferenczi and Eloi Medina Galego.

• March, 2007

  • Examples and counterexamples of type I isometric shifts by Jesus Araujo.

  • Intersection bodies and generalized cosine transforms by Boris Rubin.

  • Khinchin's inequality, Dunford--Pettis and compact operators on the space $\pmb{C([0,1],X)}$ by Dumitru Popa.

  • From the Brunn-Minkowski inequality to a class of Poincar\'e type inequalities by Andrea Colesanti.

  • The Littlewood-Offord Problem and invertibility of random matrices by Mark Rudelson and Roman Vershynin.

  • The maximum modulus of a trigonometric trinomial by Stefan Neuwirth.

• February, 2007

  • The Banach-Saks Property of the Banach product spaces by Zhenglu Jiang and Xiaoyong Fu.

  • The weak Banach-Saks Property of the Space $(L_\mu^p)^m$ by Zhenglu Jiang and Xiaoyong Fu.

  • Embeddings of locally finite metric spaces into Banach spaces by Florent Baudier and Gilles Lancien.

  • Poincar\'{e} type inequalities on the discrete cube and in the CAR algebra by Limor Ben-Efraim and Francoise Lust-Piquard.

  • Minimality properties of Tsirelson type spaces by Denka Kutzarova, Denny Leung, Antonis Manoussakis and Wee Kee Tang.

  • A decomposition theorem for frames and the Feichtinger conjecture by Peter G. Casazza, Gitta Kutyniok, Darrin Speegle and Janet C. Tremain.

  • A characterization of subspaces and quotients of reflexive Banach spaces with unconditional basis by W. B. Johnson and Bentuo Zheng.

• January, 2007

  • On Lipschitz and d.c. surfaces of finite codimension in a Banach space by Ludvek Zajivcek.

  • A solution to a question of A. Koldobsky by Emanuel Milman.

  • Rosenthal operator spaces by Marius Junge, Niels Jorgen Nielsen and Timur Oikhberg.

  • Projections and the Kadison-Singer Problem by Peter G. Casazza, Dan Edidin, Deepti Kalra and Vern I. Paulsen.

  • On the ``Multiple of the Inclusion Plus Compact'' problem by George Androulakis and Frank Sanacory.

  • Embedding into Banach spaces with finite dimensional decompositions by E. Odell and Th. Schlumprecht.

  • The lower dimensional Busemann-Petty problem for bodies with the generalized axial symmetry by Boris Rubin.

  • Almost Euclidean sections of the N-dimensional cross-polytope using O(N) random bits by Shachar Lovett and Sasha Sodin.

  • the paving conjecture is equivalent to the paving conjecture for triangular matrices by Peter G. Casazza and Janet C. Trem