December, 2015

• Correspondences between model theory and banach space theory by Karim Khanaki.

• Weakly compactly generated Banach lattices by Antonio Aviles, Antonio J. Guirao, Sebastian Lajara, Jose Rodriguez, and Pedro Tradacete.

• Estimates for measures of lower dimensional sections of convex bodies by Giorgos Chasapis, Apostolos Giannopoulos and Dimitris-Marios Liakopoulos.

• Bootstrapping the Mazur--Orlicz--K\"onig theorem by Stephen Simons.

• Nonexistence of embeddings with uniformly bounded distortions ofLaakso graphs into diamond graphs by Sofiya Ostrovska and Mikhail I. Ostrovskii.

• Distortion of embeddings of binary trees into diamond graphs by Siu Lam Leung, Sarah Nelson, Sofiya Ostrovska, and Mikhail Ostrovskii.

• The weak Banach-Saks property for function spaces by Guillermo P. Curbera and Werner J. Ricker.

• Asymptotic Smoothness, Convex Envelopes and Polynomial Norms by Jesus A. Jaramillo, Raquel Gonzalo and Diego Yanez.

• Absolutely summing operators and atomic decomposition in bi-parameterHardy spaces by Paul F.X. Muller and Johanna Penteker.

• Operator ideals related to absolutely summing and Cohen stronglyoperators by Geraldo Botelho, Jamilson R. Campos, and Joedson Santos.

• Carl's inequality for quasi-Banach spaces by Aicke Hinrichs, Anton Kolleck, and Jan Vybiral.

• Octahedrality in Lipschitz free Banach spaces by Julio Becerra Guerrero, Gines Lopez-Perez, and Abraham Rueda.

• Isomorphic structure of Ces\`aro and Tandori spaces by Sergey V. Astashkin, Karol Lesnik, and Lech Maligranda.

• Coarse and uniform embeddings by Bruno de Mendonca Braga.

• Abstract Ces\`aro spaces: Integral representations by Guillermo P. Curbera and Werner J. Ricker.

• The isotropy constant and boundary properties of convex bodies by Mathieu Meyer and Shlomo Reisner.

• Do Minkowski averages get progressively more convex? by Matthieu Fradelizi, Mokshay Madiman, Arnaud Marsiglietti, and Artem Zvavitch.

• Some results on almost square Banach spaces by Julio Becerra Guerrero, Gines Lopez Perez, and Abraham Rueda.

November, 2015

• On ergodic operator means in Banach spaces by Alexandru Aleman and Laurian Suciu.

• Direct sums and summability of the Szlenk index by Szymon Draga and Tomasz Kochanek.

• Weaving Schauder frames by Peter G. Casazza, Daniel Freeman, and Richard G. Lynch.

• Complex structures on twisted Hilbert spaces by Jesus M. F. Castillo, Wilson Cuellar, Valentin Ferenczi, and Yolanda Moreno.

• On the restricted invertibility problem with an additionalconstraint for random matrices by Stephane Chretien.

• Quantitative coarse embeddings of quasi-Banach spaces into a Hilbert space by Michal Kraus.

• Iterations of the projection body operator and a remark on Petty'sconjectured projection inequality by Christos Saroglou and Artem Zvavitch.

• Constructing hyper-ideals of multilinear operators between Banach by Geraldo Botelho and Ewerton R. Torres.

• Optimal domain of $q$-concave operators and vector measurerepresentation of $q$-concave Banach lattices by O. Delgado and E.A. Sanchez Perez.

• 1-Grothendieck $C(K)$ spaces by Jindrich Lechner.

• The trace as an average over the unit sphere of a normed space with a1-symmetric basis by Tomasz Kania and Kent E. Morrison.

• John's ellipsoid and the integral ratio of a log-concave function by David Alonso-Gutierrez, Bernardo Gonzalez Merino, Carlos Hugo Jimenez, and Rafael Villa.

October, 2015

• Riemann integrability versus weak continuity by Gonzalo Martinez-Cervantes.

• Compact convex sets that admit a lower semicontinuous strictly convex function by L. Garcia-Lirola, J. Orihuela, and M. Raja.

• The intrinsic metric on the unit sphere of a normed space by Miek Messerschmidt and Marten Wortel.

• On Dvoretzky's theorem for subspaces of $L_p$ by Grigoris Paouris and Petros Valettas.

• Random version of Dvoretzky's theorem in $\ell_p^n$ by Grigoris Paouris, Petros Valettas and Joel Zinn.

• Distortion in the finite determination result for embeddings offinite metric spaces into Banach spaces by Sofiya Ostrovska and Mikhail I. Ostrovskii.

• Fraisse limits in functional analysis by Martino Lupini.

• Identifying Set Inclusion by Projective Positions and Mixed Volumes by D.I. Florentin, V. D. Milman, and A. Segal.

• Haar meager sets revisited by Martin Dolezal, Martin Rmoutil, Benjamin Vejnar, and Vaclav Vlasak.

• Dual maps and the Dunford-Pettis property by Francisco J. Garcia-Pacheco, Alejandro Miralles, and Daniele Puglisi.

• Completeness of Sums of Subspace of Bounded Functions andApplications by Joel Blot and Philippe Cieutat.

• Dvoretzky's theorem and the complexity of entanglement detection by Guillaume Aubrun and Stanislaw Szarek.

September, 2015

• Quantitative affine approximation for UMD targets by Tuomas Hytonen, Sean Li, and Assaf Naor.

• Narrow Orthogonally Additive Operators on Lattice-Normed Spaces by Xiao Chun Fang and Marat Pliev.

• Snowflake universality of Wasserstein spaces by Alexandr Andoni, Assaf Naor, and Ofer Neiman.

• Strict singularity of a Volterra-type integral operator on $H^p$ by Santeri Miihkinen.

• On certain Opial-type results in Ces\`aro spaces of vector-valuedfunctions by Jan-David Hardtke.

• Uo-convergence and its applications to Ces\`aro means in Banach lattices by Niushan Gao, Vladimir G. Troitsky, and Foivos Xanthos.

• Almost-invariant and essentially-invariant halfspaces by Gleb Sirotkin and Ben Wallis.

• Hypomonotonicity of the normal cone and proximal smoothness by Grigory Ivanov.

• Quantification of Pe\l czy\'nski's property (V) by Hana Krulisova.

• A note on closedness of the sum of two closed subspaces in a Banachspace by Zhe-Ming Zheng and Hui-Sheng Ding.

• Brascamp-Lieb inequality and quantitative versions of Helly's theorem by Silouanos Brazitikos.

• On weakly Radon-Nikod\'ym compact spaces by Gonzalo Martinez-Cervantes.

• On subspaces of invariant vectors by Tatiana Shulman.

• On the problem of compact totally disconnected reflection ofnonmetrizability by Piotr Koszmider.

• Factorization of the identity through operators with large diagonal by Niels Jakob Laustsen, Richard Lechner, and Paul F.X. Mueller.

• Banach space-valued extensions of linear operators on $L^{\infty}$ by Nick Lindemulder.

• On the interval of fluctuation of the singular values of random by Olivier Guedon, Alexander E. Litvak, Alain Pajor, and Nicole Tomczak-Jaegermann.

• Diametral diameter two properties by Julio Becerra Guerrero, Gines Lopez Perez and Abraham Rueda Zoca.

• Sequence-singular operators by Gleb Sirotkin and Ben Wallis.

• Disjointly homogeneous Banach lattices and applications by Julio Flores, Francisco L. Hernandez and Pedro Tradacete.

• An elementary approach to the problem of column selection in arectangular matrix by Stephane Chretien and Sebastien Darses.

• Smooth and polyhedral approximation in Banach spaces by Victor Bible and Richard J. Smith.

August, 2015

• Chaining, Interpolation, and Convexity by Ramon van Handel.

• $L^p$-norms and Mahler's measure of polynomials on the $n$-dimensionaltorus by Andreas Defant and Mieczyslaw Mastylo.

• Bohnenblust-Hille inequalities for Lorentz spaces via interpolation by Andreas Defant and Mieczyslaw Mastylo.

• On conditional weak topologies under a simplified approach derivedthe framework of conditional sets by Jose Miguel Zapata.

• Non-universal families of separable Banach spaces by Ondrej Kurka.

• Almost disjointness preservers by Timur Oikhberg and Pedro Tradacete.

• Narrow operators on lattice-normed spaces and vector measures by D.T. Dzadzaeva and M.A. Pliev.

• An uniform estimate of the relative projection constant by Tomasz Kobos.

• Dominated oprerators from a lattice-normed space to a sequence Banachlattice by Abasov,N., Megaled,A., and Pliev,M.

• Duality on Banach spaces and a Borel parametrized version of Zippin'stheorem by Bruno de Mendonca Braga.

• Functional calculus for $C_{0}$-groups using (co)type by Jan Rozendaal.

• On the complexity of some inevitable classes of separable Banach by Bruno de Mendonca Braga.

• On the complexity of some classes of Banach spaces and by Bruno de Mendonca Braga.

• An ordinal index characterizing weak compactness of operators by Ryan M Causey.

• The Dual Form of the Approximation Property for a Banach Space and a Subspace by T. Figiel and W. B. Johnson.

• Rademacher functions in weighted symmetric spaces by Sergey Astashkin.

• One side James' Compactness Theorem by Bernardo Cascales, Jose Orihuela and Antonio Perez.

July, 2015

• Some $s$-numbers of an integral operator of Hardy type in Banachfunction spaces by David Edmunds, Amiran Gogatishvili, Tengiz Kopaliani and Nino Samashvili.

• The uniqueness-of-norm problem for Calkin algebras by Richard Skillicorn.

• Embeddings between weighted Copson and Ces\`{a}ro function spaces by Amiran Gogatishvili, Rza Mustafayev, and Tugce Unver.

• Class of operators determined by ordinal indices by Kevin Beanland, Ryan Causey, Daniel Freeman, and Ben Wallis.

• Estimating averages of order statistics of bivariate functions by Richard Lechner and Markus Passenbrunner and Joscha Prochno.

• Unconditional and quasi-greedy bases in $L_p$ with applications to Jacobi polynomials Fourier series by Fernando Albiac, Jose L. Ansorena, Oscar Ciaurri and Juan L. Varona.

• On the composition ideals of Lipschitz mappings by khalil saadi.

• Separable determination of (generalized-)lushness by Marek Cuth.

• Lineability in sequence and function spaces by G. Araujo, L. Bernal-Gonzalez, G.A. Munoz-Fernandez, J.A. Prado-Bassas and J.B. Seoane-Sepulveda.

• The Daugavet equation for bounded vector valued functions by Stefan Brach, Enrique A. Sanchez Perez and Dirk Werner.

• Zippin's embedding theorem and amalgamations of classes of Banach by Ondrej Kurka.

• Closed ideals in $\mathcal{L}(X)$ and $\mathcal{L}(X^*)$ when $X$ contains certain copies of $\ell_p$ and $c_0$ by Ben Wallis.

• The Dvoretsky-Rogers Theorem for vector valued integrals on function spaces by P. Rueda and E.A. Sanchez-Perez.

• Persistence of Banach lattices under nonlinear order isomorphisms by Denny H. Leung and Wee-Kee Tang.

• Lipschitz-free spaces over metric spaces homeomorphic to the Cantorspace by Petr Hajek, Gilles Lancien and Eva Pernecka.

• Non-linear Plank Problems and polynomial inequalities by Daniel Carando, Damian Pinasco and Jorge Tomas Rodriguez.

• A useful lemma for Lagrange multiplier rules in infinite dimension by Mohammed Bachir and Joel Blot.

• An alternate description of the Szlenk index with applications by Ryan M Causey.

• Haar projection numbers and failure of unconditional convergence inSobolev spaces by Andreas Seeger and Tino Ullrich.

• Ideal structure of the algebra of bounded operators acting on a Banachspace by Tomasz Kania and Niels Jakob Laustsen.

• Nonlinear Operator Ideals Between Metric Spaces and Banach Spaces,Part I by Manaf Adnan Saleh Saleh.

• Bezout Inequality for Mixed volumes by Ivan Soprunov and Artem Zvavitch.

June, 2015

• Strong extensions for $q$-summing operators acting in $p$-convexfunction spaces for $1 \le p \le q$ by O. Delgado and E. A. Sanchez Perez.

• Rethinking Polyhedrality for Lindenstrauss Spaces by Emanuele Casini, Enrico Miglierina, and Lukasz Piasecki.

• Estimates for vector-valued holomorphic functions andLittlewood-Paley-Stein theory by Mark Veraar and Lutz Weis.

• Equivalent norms with the property $(\beta)$ of Rolewicz by Stephen J. Dilworth, Denka Kutzarova, Gilles Lancien and Lovasoa N. Randrianarivony.

• A short note on the Radon-Riesz property for continuous Banach space valued functions by Arne Roggensack.

• The Kadec-Pe\l czynski theorem in $L^p$, $1\le p<2$ by Istvan Berkes and Robert Tichy.

• Rademacher functions in Morrey spaces by Sergei V. Astashkin and Lech Maligranda.

• Domination spaces and factorization of linear and multilinear summingoperators by E. Dahia, D. Achour, P. Rueda and E. A. Sanchez Perez.

• Point-open games and productivity of dense-separable property by Jarno Talponen.

• On uniformly bounded basis in spaces of holomorphic functions by Jean Bourgain.

• Uniform nonextendability from nets by Assaf Naor.

• Diameter 2 properties and convexity by Trond A. Abrahamsen, Peter Hajek, Olav Nygaard, Jarno Talponen, and Stanimir Troyanski.

• On Lipschitz extension from finite subsets by Assaf Naor and Yuval Rabani.

• Improved $L_p-$mixed volume inequality for convex bodies by Van Hoang Nguyen.

• Characterization of $1$-almost greedy bases by F. Albiac and J. L. Ansorena.

• Orlicz Affine Isoperimetric Inequalities for Functions by Umut Caglar and Deping Ye.

• Probability inequalities and tail estimates on metric semigroups by Apoorva Khare and Bala Rajaratnam.

• A Valdivia compact space with no $G_\delta$ points and few nontrivialconvergent sequences by Claudia Correa and Daniel V. Tausk.

• on properties of multiplication and composition operators betweenspaces by Y. Estaremi, S. Maghsodi and I. Rahmani.

May, 2015

• Existence and uniqueness of greedy bases in Banach spaces by J. L. Ansorena, F. Albiac, S. J. Dilworth and Denka Kutzarova.

• $\mathcal A$-compact mappings by Pablo Turco.

• Separable reduction of Frechet subdifferentiability in Asplund spaces by Marek Cuth and Marian Fabian.

• On the structure of Lipschitz-free spaces by Marek Cuth, Michal Doucha, and Przemyslaw Wojtaszczyk.

• Nontrivial twisted sums of $c_0$ and $C(K)$ by Claudia Correa and Daniel V. Tausk.

• Strengthening of weak convergence for Radon measures in separable Banachspaces by E. Ostrovsky and L. Sirota.

• Volumes of unit balls of mixed sequence spaces by Henning Kempka and Jan Vybiral.

• Weak Banach-Saks property and Koml\'os' theorem for preduals ofJBW$^*$-triples by Antonio M. Peralta and Hermann Pfitzner.

• An isometrically universal Banach space induced by a non-universalBoolean algebra by Christina Brech and Piotr Koszmider.

• Composition operators on vector-valued analytic function spaces: asurvey by Jussi Laitila and Hans-Olav Tylli.

• Non-trivial translation-invariant valuations on $L^\infty$ by Lorenzo Cavallina.

April, 2015

• On the size of certain subsets of invariant Banach sequence spaces by Tony K. Nogueira and Daniel Pellegrino.

• On the structure of separable $\mathcal{L}_\infty$-spaces by Spiros A. Argyros, Ioannis Gasparis and Pavlos Motakis.

• On the relationship between order bounded operators, topologicallybounded operators and topologically continuous operators by Liang Hong.

• Differentiability of Distance Function and The Proximinal Conditionimplying Convexity by Triloki Nath.

• Szlenk indices of convex hulls by Gilles Lancien, Antonin Prochazka, and Matias Raja.

• On Markushevich bases in preduals of von Neumann algebras by Martin Bohata, Jan Hamhalter and Ondrej F.K. Kalenda.

• Amalgamations of classes of Banach spaces with a monotone basis by Ondrej Kurka.

• An example of a non-commutative uniform Banach group by Michal Doucha.

• Sidonicity and variants of Kaczmarz's problem by Jean Bourgain and Mark Lewko.

• The Ascoli property for function spaces and the weak topology of Banach and Fr\'echet spaces by S. Gabriyelyan, J. Kakol, and G. Plebanek.

• $(\beta)$-distortion of some infinite graphs by Florent P. Baudier and Sheng Zhang.

• Operators in tight by support Banach spaces by Antonis Manoussakis and Anna Pelczar-Barwacz.

• A dual method of constructing hereditarily indecomposable Banachspaces by Spiros A. Argyros and Pavlos Motakis.

• The unit ball of the predual of $H^\infty(\mathbb{B}_d)$ has no points by Raphael Clouatre and Kenneth R. Davidson.

March, 2015

• A remark on spaces of affine continuous functions on a simplex by Emanuele Casini, Enrico Miglierina, and Lukasz Piasecki.

• Modulus of supporting convexity and supporting smoothness by Grigory Ivanov.

• Separable Lindenstrauss spaces whose duals lack the weak$^*$ fixed point property for nonexpansive mappings by Emanuele Casini, Enrico Miglierina, and Lukasz Piasecki.

• Uncountable sets of unit vectors that are separated by more than 1 by Tomasz Kania and Tomasz Kochanek.

• The closedness of the generator of a semigroup by George Androulakis and Matthew Ziemke.

• Equivalence after extension for compact operators on Banach spaces by Sanne ter Horst, Miek Messerschmidt, and Andre C.M. Ran.

• Uncountable equilateral sets in Banach spaces of the form $C(K)$ by Piotr Koszmider.

• Norm-attaining functionals and proximinal subspaces by Martin Rmoutil.

• An Inverse Ackermannian Lower Bound on the Local UnconditionalityConstant of the James Space by Henry Towsner.

• Equipped graded graphs, projective limits of simplices, and theirboundaries by A.Vershik.

• Smoothness of bounded linear operators by Kallol Paul, Debmalya Sain and Puja Ghosh.

• On uniformly differentiable mappings by Eva Pernecka.

• An integral formula for multiple summing norms of operators by Daniel Carando, Veronica Dimant, Santiago Muro, and Damian Pinasco.

• Some polynomial versions of cotype and applications by Danie Carando, Andreas Defant, and Pablo Sevilla-Peris.

• Proper subspaces and compatibility by Esteban Andruchow, Eduardo Chiumiento and Maria Eugenia Di Iorio y Lucero.

February, 2015

• A Schauder basis for $L_1(0,\infty)$ consisting of non-negativefunctions by William B. Johnson and Gideon Schechtman.

• The version for compact operators of Lindenstrauss properties A and B by Miguel Martin.

• On different definitions of numerical range by Miguel Martin.

• Ball generated property of direct sums of Banach spaces by Jan-David Hardtke.

• Representation of increasing convex functionals with countably additivemeasures by Patrick Cheridito, Michael Kupper and Ludovic Tangpi.

• Proximity to $\ell_p$ and $c_0$ in Banach spaces by Ryan Causey.

• Diagonals of injective tensor products of Banach lattices with bases by Donghai Ji, Byunghoon Lee and Qingying Bu.

• k-Extreme Points in Symmetric Spaces of Measurable Operators by Malgorzata M. Czerwinska and Anna Kaminska.

• Separable elastic Banach spaces are universal by Dale E. Alspach and Bunyamin Sari.

• weighted conditional type operators between different Orlicz spaces by Yousef Estaremi.

• Closed ideals of operators on and complemented subspaces of Banach spaces of functions with countable support by William B. Johnson, Tomasz Kania, and Gideon Schechtman.

• Quantitative Borell-Brascamp-Lieb inequalities for compactly power concave functions (and some applications) by Daria Ghilli and Paolo Salani.

• The Daugavet property in the Musielak-Orlicz spaces by Anna Kaminska and Damian Kubiak.

• Free spaces over ultrametric spaces are never isometric to $\ell_1$ by Aude Dalet, Pedro L. Kaufmann, and Antonin Prochazka.

• Examples of infinite dimensional Banach spaces without infiniteequilateral sets by Eftychios Glakousakis and Sophocles Mercourakis.

• Characterizing of Inner Product Spaces by the Mapping $n_{x,y}$ by Hossein Dehghan.

• Improving integrability via absolute summability: a general version ofDiestel's Theorem by Daniel Pellegrino, Pilar Rueda and Enrique Sanchez-Perez.

• Extension operators on balls and on spaces of finite sets by Antonio Aviles and Witold Marciszewski.

• Some alternative definitions for the ''plus-minus'' interpolation spaces$\left\langle A_{0},A_{1}\right\rangle _{\theta}$ of Jaak Peetre by Michael Cwikel.

• Type and cotype of multilinear operators by Geraldo Botelho and Jamilson R. Campos.

• Abscissas of weak convergence of vector valued Dirichlet series by Jose Bonet.

• Concentration analysis in Banach spaces by Sergio Solimini and Cyril Tintarev.

• Order almost Dunford-Pettis Operators on Banach lattices by H. Ardakani and S.M.S. Modarres Mosadegh.

January, 2015

• Some intersections of Lorentz spaces by F. Abtahi, H. G. Amini, H. A. Lotfi, and A. Rejali.

• Ellipsoidal cones in normed vector spaces by Farhad Jafari and Tyrrell B. McAllister.

• The Metric Approximation Property and Lipschitz-Free Spaces over Subsetsof $\mathbb{R}^N$ by Eva Pernecka and Richard J. Smith.

• Concerning the Szlenk index by Ryan Causey.

• Equilateral Sets in Banach Spaces of th form C(K) by S.K. Mercourakis and G. Vassiliadis.

• Intersection Theorems for Closed Convex Sets and Applications by Hichem Ben-El-Mechaiekh.

• On Schauder Bases Properties of Multiply Generated Gabor Systems by Morten Nielsen.

• A General Beurling-Helson-Lowdenslager Theorem on the Disk by Yanni Chen.

• Pythagorean powers of hypercubes by Assaf Naor and Gideon Schechtman.

• Preserving affine Baire classes by perfect affine maps by Ondrej F.K. Kalenda and Jiri Spurny.

• Model-theoretic aspects of the Gurarij operator space by Isaac Goldbring and Martino Lupini.

• On automorphisms of the Banach space $\ell_\infty/c_0$ by Piotr Koszmider and Cristobal Rodriguez-Porras.

• Operator Lipschitz functions on Banach spaces by Jan Rozendaal, Fedor Sukochev and Anna Tomskova.

• Convex hull deviation and contractibility by Grigory Ivanov.

• On complemented copies of $c_0(\omega_1)$ in $C(K^n)$ spaces by Leandro Candido and Piotr Koszmider.

• Robustness properties of dimensionality reduction with gaussian randommatrices by Bin Han and Zhiqiang Xu.

• Spaces of regular abstract martingales by Vladimir G. Troitsky and Foivos Xanthos.

• On the divergence of greedy algorithms with respect to Walshsubsystems in $L$ by Sergo A. Episkoposian.

• s-Numbers sequences for homogeneous polynomials by Erhan Caliskan and Pilar Rueda.

• On the optimal constants of the Bohnenblust--Hille andinequalities by Daniel Pellegrino.