PREPRINTS 2013

December, 2013
- Explicit Euclidean embeddings in permutation invariant normed spaces by Daniel Fresen.
- On the Bishop-Phelps-Bollobas property for numerical radius by Sun Kwang Kim, Han Ju Lee and Miguel Martin.
- A hyperplane inequality for measures of unconditional convex bodies by Alexander Koldobsky.
- Metric spaces nonembeddable into Banach spaces with theproperty and thick families of geodesics by Mikhail Ostrovskii.
- The planar Busemann-Petty centroid inequality and its stability by Mohammad N. Ivaki.
- Finite forms of Gowers' theorem on the oscillation stability of $c_0$ by Diana Ojeda-Aristizabal.
- Metric characterizations of superreflexivity in terms of wordgroups and finite graphs by Mikhail Ostrovskii.
- Equality characterization and stability for entropy inequalities by Elisabeth M. Werner and Turkay Yolcu.
- Characterizing the dual mixed volume via additive functionals by Paolo Dulio, Richard J. Gardner and Carla Peri.
- A remark on the diameter of random sections of convex bodies by Shahar Mendelson.
- Perturbations of frames by Dongyang Chen, Lei Li and Bentuo Zheng.
- Adaptive deterministic dyadic grids on spaces of homogeneous type by R. Lechner and M. Passenbrunner.
- On the equivalence of modes of convergence for log-concave measures by Elizabeth S. Meckes and Mark W. Meckes.
- On the existence of 1-separated sequences on the unit ball of a finitedimensional Banach space by Eytyhios Glakousakis and Sophocles Mercourakis.
- Some characterizations of almost limited sets and applications by N. Machrafi, A. Elbour, and M. Moussa.
- On operators with bounded approximation property by Oleg Reinov.
- Energy integrals and metric embedding theory by Daniel Carando, Daniel Galicer and Damian Pinasco.
- The Blaschke-Santalo Inequality by Michael Kelly.
November, 2013
- Lipschitz $\left(\mathfrak{m}^L\left(s;q\right),p\right)$ and $\left(p,\mathfrak{m}^L\left(s;q\right)\right)-$summing maps by Manaf Adnan Salah.
- The (B) conjecture for uniform measures in the plane by Amir Livne Bar-on.
- On the equivalence between two problems of asymmetry on convex bodies by Christos Saroglou.
- Remarks on the conjectured log-Brunn-Minkowski inequality by Christos Saroglou.
- Weak compactness and strongly summing multilinear operators by Daniel Pellegrino, Pilar Rueda, and Enrique A. Sanchez-Perez.
- Low distortion embeddings into Asplund Banach spaces by Antonin Prochazka and Luis Sanchez-Gonzalez.
- Geometric characterization of $L_1$-spaces by Normuxammad Yadgorov, Mukhtar Ibragimov, and Karimbergen Kudaybergenov.
- Volume of the polar of random sets and shadow systems by Dario Cordero-Erausquin, Matthieu Fradelizi, Grigoris Paouris, and Peter Pivovarov.
- Optimal Hardy-Littlewood type inequalities for polynomials andmultilinear operators by Nacib Albuquerque, Frederic Bayart, Daniel Pellegrino, and Seoane Sepulveda.
- Domination by positive weak* Dunford-Pettis operators on Banach by Jin Xi Chen, Zi Li Chen, and Guo Xing Ji.
- Toward a unified theory of sparse dimensionality reduction in space by Jean Bourgain and Jelani Nelson.
- On approximation schemes and compactness by A. G. Aksoy and J. M. Almira.
- On duality of diameter 2 properties by Rainis Haller, Johann Langemets and Mart Poldvere.
- On linear operators with ${\ssize\bold s}$-nuclear adjoints: $0<{\ssize s}\le 1$ by O.I. Reinov.
- Using boundaries to find smooth norms by Victor Bible.
- Square Function Estimates and Functional Calculi by Bernhard Hermann Haak and Markus Haase.
October, 2013
- Slicing inequalities for subspaces of $L_p.$ by Alexander Koldobsky.
- Solution of invariant subspace problem in the Hilbert space by Mubariz Garayev.
- Ideals of operators on $(\oplus \ell^\infty(n))_{\ell^1}$ by Denny H. Leung.
- Order isomorphisms on function spaces by Denny H. Leung and Lei Li.
- Basis entropy in Banach spaces by Andrei Dorogovtsev and Mikhail Popov.
- Around finite-dimensionality in functional analysis by M A Sofi.
- Almost transitive and maximal norms in Banach spaces by S. J. Dilworth and B. Randrianantoanina.
- Principle of local reflexivity respecting subspaces by Eve Oja.
- On the structure of the set of the higher order spreading models by Bunyamin Sari and Konstantinos Tyros.
- Sphere equivalence, Banach expanders, and extrapolation by Masato Mimura.
- Lyapunov theorem for q-concave Banach spaces by Anna Novikova.
- Unbounded order convergence in dual spaces by Niushan Gao.
- p-summing multiplication operators, dyadic Hardy Spaces and atomicdecomposition by Paul F.X. Muller and Johanna Penteker.
- Some problems in functional analysis inspired by Hahn Banach typetheorems by M. A. Sofi.
- A note on the Bishop property in compact spaces by Tomasz Kania and Richard J. Smith.
- A universal operator on the Gurarii space by Joanna Garbulinska-Wegrzyn and Wieslaw Kubis.
- No greedy bases for matrix spaces with mixed $\ell_p$ and $\ell_q$ by Gideon Schechtman.
- Compact lines and the Sobczyk property by Claudia Correa and Daniel V. Tausk.
- A version of Kalton's theorem for the space of regular operators by Foivos Xanthos.
- Concentration phenomena in high dimensional geometry by Olivier Guedon.
September, 2013
- Dual affine invariant points by Mathieu Meyer, Carsten Schuett, and Elisabeth M. Werner.
- Quasi-Banach spaces of almost universal disposition by Felix Cabello Sanchez, Joanna Garbulinska, and Wieslaw Kubis.
- Operators on Banach spaces of Bourgain-Delbaen type by Matthew Tarbard.
- Isomorphic Schauder decompositions in certain Banach spaces by Vitalii Marchenko.
- Numerical range for random matrices by Benoit Collins, Piotr Gawron, Alexander E. Litvak, and Karol Zyczkowski.
- Summation of coefficients of polynomials on $\ell_{p}$ spaces by Veronica Dimant and Pablo Sevilla-Peris.
- Euclidean grid structures in Banach spaces by Daniel J. Fresen.
- Operator ideals on non-commutative function spaces by T. Oikhberg and E. Spinu.
- Extreme differences between weakly open subsets and convex of slices in Banach spaces by Julio Becerra Guerrero, Gines Lopez-Perez and Abraham Rueda Zoca.
- A characterization of the mixed discriminant by D.I. Florentin, V.D. Milman, and R. Schneider.
- Quantitative Grothendieck property by Hana Bendova.
- The Daugavet property and translation-invariant subspaces by Simon Lucking.
- Strictly singular operators in Tsirelson like spaces by Spiros Argyros, Kevin Beanland and Pavlos Motakis.
- Some remarks on generalised lush spaces by Jan-David Hardtke.
- Octahedral norms and convex combination of slices in Banach spaces by Julio Becerra Guerrero, Gines Lopez-Perez, and Abraham Rueda Zoca.
- Weak-star point of continuity property and Schauder bases by Gines Lopez Perez and Jose A. Soler Arias.
- Lineability criteria, with applications by Luis Bernal-Gonzalez and Manuel Ordonez-Cabrera.
- Geometric description of L$_1$-Spaces by Mukhtar Ibragimov and Karimbergen Kudaybergenov.
- Uniform openness of multiplication in Banach spaces $L _p$ by Marek Balcerzak, Adam Majchrzycki, and Filip Strobin.
- Concentration analysis and cocompactness by Cyril Tintarev.
- Bounded convergence theorems by Piotr Niemiec.
- On separable determination of sigma-P-porous sets in Banach spaces by Marek Cuth, Martin Rmoutil, and Miroslav Zeleny.
- Almost limited sets in Banach lattices by Jin Xi Chen, Zi Li Chen, and Guo Xing Ji.
- Integral isoperimetric transference and dimensionless Sobolevinequalities by Joaquim Martin and Mario Milman.
- Lineability, spaceability, and additivity cardinals for Darboux-likefunctions by Krzysztof Chris Ciesielski, Jose L. Gamez-Merino, Daniel Pellegrino, and Juan B. Seoane-Sepulveda.
- On Borel structures in the Banach space C(\beta\omega) by Witold Marciszewski and Grzegorz Plebanek.
August, 2013
- On embeddings of $C_0(K)$ spaces into $C_0(J,X)$ spaces by Leandro Candido.
- Avoiding sigma-porous sets in Hilbert spaces by Michael Dymond.
- New bounds for circulant Johnson-Lindenstrauss embeddings by Hui Zhang and Lizhi Cheng.
- Optimal average approximations for functions mapping in quasi-Banach spaces by Fernando Albiac and Jose L Ansorena.
- Complemented Brunn--Minkowski inequalities and isoperimetry forhomogeneous and non-homogeneous measures by Emanuel Milman and Liran Rotem.
- Estimation of the Szlenk index of reflexive Banach spaces usinggeneralized Baernstein spaces by Ryan Causey.
- The complex angle in normed spaces by Volker W. Thurey.
- Localizing algebras and invariant subspaces by Miguel Lacruz and Luis Rodriguez-Piazza.
- Unconditionality of orthogonal spline systems in $L^p$ by Markus Passenbrunner.
- A doubling subset of $L_p$ for $p>2$ that is inherently infinite dimensional by Vincent Lafforgue and Assaf Naor.
- On explicit constructions of auerbach bases in separable Banach spaces by Robert Bogucki.
- On the $L_p$ geominimal surface area and related inequalities by Deping Ye.
- Isomorphic universality and the number of pairwise non-isomorphicin the class of Banach spaces by Mirna Dzamonja.
- The Szlenk index of L_p(X) by Petr Hajek and Thomas Schlumprecht.
- Comparison of metric spectral gaps by Assaf Naor.
- Large distortion dimension reduction using random variable by Alon Dmitriyuk and Yehoram Gordon.
- Properties of Hadamard directional derivatives: Denjoy-Young-Sakstheorem for functions on Banach spaces by Ludek Zajicek.
- On the Moore-Penrose inverse, EP Banach space operators and EP Banachalgebra elements by Enrico Boasso.
- Rich families and elementary submodels by Marek Cuth and Ondrej F.K. Kalenda.
- Simultaneously continuous retraction and its application by Sun Kwang Kim and Han Ju Lee.
- Complete sets and completion of sets in Banach spaces by Horst Martini, Pier Luigi Papini, and Margarita Spirova.
July, 2013
- A general abstract approach to approximation properties in Banach by Sonia Berrios and Geraldo Botelho.
- Banach spaces with no proximinal subspaces of codimension 2 by Charles John Read.
- Compact and weakly compact composition operators from the Bloch spaceinto M\"obius invariant spaces by Manuel D. Contreras, Santiago Diaz-Madrigal, and Dragan Vukotic.
- Divergence for s-concave and log concave functions by Umut Caglar and Elisabeth M. Werner.
- Grothendieck's theorem for absolutely summing multilinear operators is optimal by Daniel Pellegrino and Juan B. Seoane-Sepulveda.
- On ultrapowers of Banach spaces of type $\mathscr L_\infty$ by Antonio Aviles, Felix Cabello Sanchez, Jesus M. F. Castillo, Manuel Gonzalez and Yolanda Moreno.
- On uniformly finitely extensible Banach spaces by Jesus M. F. Castillo, Valentin Ferenczi and Yolanda Moreno.
- Thick coverings for the unit ball of a Banach space by Jesus M. F. Castillo, Pier Luigi Papini and Marilda A. Simoes.
- On the bounded approximation property in Banach spaces by Jesus M.F. Castillo, and Yolanda Moreno.
- Stability constants and the homology of quasi-Banach spaces by Jesus M. F. Castillo and Felix Cabello Sanchez.
- The almost Daugavet property and translation-invariant subspaces by Simon Lucking.
- Intersection bodies with certain symmetries by Susanna Dann.
- Towards Banach space strong property (T) for SL(3,R) by Mikael de la Salle.
- Basic sequences and spaceability in $\ell_p$ spaces by Daniel Cariello and Juan B. Seoane-Sepulveda.
- Free spaces over countable compact metric spaces by Aude Dalet.
June, 2013
- The Bishop-Phelps-Bollob\'as property for operators between spaces of continuous functions by Maria Acosta, Julio Becerra, Yun Sung Choi, Maciej Ciesielski, Sun Kwang Kim, Han Ju Lee, and Miguel Martin.
- Radon-Nikod\'ym property and thick families of geodesics by Mikhail I. Ostrovskii.
- On the metric entropy of the Banach-Mazur compactum by Gilles Pisier.
- Interlacing families II: Mixed characteristic polynomials and a questionof Kadison and Singer by Adam Marcus, Daniel A Spielman, and Nikhil Srivastava.
- Unbounded order convergence and application to martingales withoutprobability by Niushan Gao and Foivos Xanthos.
- Norm-attaining compact operators by Miguel Martin.
- Frechet differentiability of Sp norms by Denis Potapov and Fedor Sukochev.
- Geometry of the $L_q$-centroid bodies of an isotropic log-concavemeasure by Apostolos Giannopoulos, Pantelis Stavrakakis, Antonis Tsolomitis and Beatrice-Helen Vritsiou.
May, 2013
- An abstract result on Cohen strongly summing operators by Jamilson Ramos Campos.
- Equilateral sets in uniformly smooth Banach spaces by D. Freeman, E. Odell, B. Sari, and Th. Schlumprecht.
- The Bishop-Phelps-Bollob\'as version of Lindenstrauss properties A by Richard Aron, Yun Sung Choi, Sun Kwang Kim, Han Ju Lee, and Miguel Martin.
- Equilateral dimension of some classes of normed spaces by Tomasz Kobos.
- Real phase retrieval by projections by Jameson Cahill, Peter G. Casazza, Jesse Peterson and Lindsey.
- Compactness in the Lebesgue-Bochner spaces L^p(\mu;X) by Jan van Neerven.
- Absolutely \gamma-summing multilinear operators by Diana Marcela Serrano-Rodriguez.
- Some combinatorial principles for trees and applications totree-families in Banach spaces by Costas Poulios and Athanasios Tsarpalias.
- Differentiability inside sets with upper Minkowski dimension one by Michael Dymond and Olga Maleva.
- multiplication conditional expectation type operators on Orlicz by Yousef estaremi.
- On the Distribution of Random variables corresponding tonorms by David Alonso-Gutierrez, Soeren Christensen, Markus Passenbrunner, and Joscha Prochno.
- Simultaneous projectional skeletons by Marek Cuth.
- Channel capacities via $p$-summing norms by Marius Junge and Carlos Palazuelos.
- On $\mathfrak{I}$-reconstruction property by L.K.Vashisht and Geetika Khattar.
- The minimal displacement and extremal spaces by Krzysztof Bolibok, Andrzej Wisnicki, and Jacek Wosko.
April, 2013
- Remarks on diameter 2 properties by Trond Abrahamsen, Vegard Lima, and Olav Nygaard.
- Equilateral sets and a Sch\"utte Theorem for the 4-norm by Konrad J. Swanepoel.
- Differentiability of Lipschitz functions in Lebesgue null sets by David Preiss and Gareth Speight.
- On a certain class of $\K$ Banach spaces by K.K. Kampoukos and S.K. Mercourakis.
- Bohr's absolute convergence problem for $\mathcal{H}_p$-Dirichletin Banach spaces by Daniel Carando, Andreas Defant and Pablo Sevilla-Peris.
- Operators on two Banach spaces of continuous functions on locally compact spaces of ordinals by Tomasz Kania and Niels Jakob Laustsen.
- Big slices versus big relatively weakly open subsets in Banach spaces by Julio Becerra Guerrero, Gines Lopez Perez and Abraham Rueda Zoido.
- Uniformly factoring weakly compact operators by Kevin Beanland and Daniel Freeman.
- K\"othe-Bochner spaces and some geometric properties related to rotundity and smoothness by Jan-David Hardtke.
- Equivalence of multi-norms by H. Garth Dales, Matthew Daws, Hung Le Pham, and Paul Ramsden.
- A remark on the complex interpolation for families of Banach spaces by Yanqi Qiu.
- Projections in duals to Asplund spaces made without Simons' lemma by Marek Cuth and Marian Fabian.
- The Bishop-Phelps-Bollob\'as moduli of a Banach space by Mario Chica, Vladimir Kadets, Miguel Martin, Soledad Moreno and Fernando Rambla.
March, 2013
- The Bishop-Phelps-Bollob\'{a}s theorem for operators on $L_1(\mu)$ by Yun Sung Choi, Sun Kwang Kim, Han Ju Lee and Miguel Martin.
- Random fusion frames are nearly equiangular and tight by Bernhard G. Bodmann.
- A survey on subideals of operators and an introduction tosubideal-traces by S. Patnaik and G. Weiss.
- Separable $C^{\ast}$-algebras and weak$^{\ast}$-fixed point property by Gero Fendler and Michael Leinert.
- Mean width of random perturbations of random polytopes by David Alonso-Gutierrez and Joscha Prochno.
- On left democracy function by P. Wojtaszczyk.
- $B(H)$-Commutators: A historical survey II and recent advances oncommutators of compact operators by Daniel Beltita, Sasmita Patnaik, and Gary Weiss.
- Matrix subspaces of $L_1$ by Gideon Schechtman.
- Types of tightness in spaces with unconditional basis by A. Manoussakis and A. Pelczar-Barwacz.
- A characterization of the Radon-Nikodym property by Robert Deville and Oscar Madiedo.
February, 2013
- Group actions on Banach spaces by Piotr W. Nowak.
- Steinhaus' lattice-point problem for Banach spaces by Tomasz Kania and Tomasz Kochanek.
- On the analogue of the concavity of entropy power in the Brunn-Minkowskitheory by Matthieu Fradelizi and Arnaud Marsiglietti.
- On dentability in locally convex vector spaces by Oleg Reinov and Asfand Fahad.
- On metric characterizations of the Radon-Nikodym and relatedproperties of Banach spaces by Mikhail I. Ostrovskii.
- Stability of the reverse Blaschke-Santalo inequality for unconditionalconvex bodies by Jaegil Kim and Artem Zvavitch.
- Extension property and complementation of isometric copies of continuousfunctions spaces by Claudia Correa and Daniel V. Tausk.
- On positive embeddings of C(K) spaces by Grzegorz Plebanek.
- On isomorphisms of Banach spaces of continuous functions by Grzegorz Plebanek.
- Frames and operators in Schatten classes by Hu Bingyang, Le Hai Khoi, and Kehe Zhu.
- On measures of symmetry and floating bodies by Stanislaw J. Szarek.
- Yet another short proof of Bourgain's distorsion estimate by Benoit Kloeckner.
- Topological properties of the continuous function spaces on some ordered compacta by Wieslaw Kubis, Anibal Molto, and Stanimir Troyanski.
- alpha-concave functions and a functional extension of mixed volumes by Vitali Milman and Liran Rotem.
- Non separable reflexive spaces admitting $\ell_1$ as a unique spreading model by Spiros A. Argyros and Pavlos Motakis.
- Polyhedrality in Pieces by V. P. Fonf, A. J. Pallares, R. J. Smith, and S. Troyanski.
January, 2013
- An inequality for the entropy numbers and its application by Vladimir Temlyakov.
- A Bohl--Bohr--Kadets type theorem characterizing Banach spaces notcontaining $c_0$ by Balint Farkas.
- On Read's type operators on Hilbert spaces by Sophie Grivaux and Maria Roginskaya.
- An example of a minimal action of the free semi-group $\F^{+}_{2}$ on the Hilbert space by Sophie Grivaux and Maria Roginskaya.
- A general approach to Read's type constructions of operators withoutnon-trivial invariant closed subspaces by Sophie Grivaux and Maria Roginskaya.
- Noncommutative Valdivia compacta by Marek Cuth.
- Conditional quasi-greedy bases in Hilbert and Banach spaces by G. Garrigos and P. Wojtaszczyk.
- On functional calculus properties of Ritt operators by Florence Lancien and Christian Le Merdy.
- Multiplication and composition operators between two Orlicz spaces by Yousef Estaremi.
- The Bishop-Phelps-Bollob\'as property for numerical radius in $\ell_1(\mathbb{C})$ by Antonio J. Guirao and Olena Kozhushkina.
- New formulas for decreasing rearrangements and a class ofspaces by Anna Kaminska and Yves Raynaud.
- Subspaces of $L_p$ that embed into $L_p(\mu)$ with $\mu$ finite by William B. Johnson and Gideon Schechtman.
- Spectral calculus and Lipschitz extension for barycentric metric spaces by Manor Mendel and Assaf Naor.
- On $\eps$-isometry, isometry and linear isometry by Lixin Cheng, Duanxu Dai, Yunbai Dong and Yu Zhou.
- A note on the Cheng-Dong-Zhang Theorem and its applications by Duanxu Dai.
- On universally-left-stability of Banach spaces for$\varepsilon$-isometries by Lingxin Bao, Lixin Cheng, Qingjin Cheng and Duanxu Dai.
- Differentiability of quasiconvex functions on separable Banach spaces by Patrick J. Rabier.
- Affine invariant points by Mathieu Meyer, Carsten Schuett, and Elisabeth M. Werner.
- Lecture notes on non-asymptotic theory of random matrices by Mark Rudelson.
- A characterization of inner product spaces related to thedistance by Hossein Dehghan.
- Fremlin tensor products of concavifications of Banach lattices by Vladimir G. Troitsky and Omid Zabeti.