Preprints 2017

• December, 2017

  • Large separated sets of unit vectors in Banach spaces of continuous functions by Marek C?th, Benjamin Vejnar, Ond?ej Kurka.

  • Inversion of nonsmooth maps between Banach spaces by Jes?s A. Jaramillo, Sebasti?n Lajara, ?scar Madiedo.

  • Building highly conditional quasi-greedy bases in classical Banach spaces by Fernando Albiac, Jos? L. Ansorena.

  • On embeddings of locally finite metric spaces into $\ell_p$ by Sofiya Ostrovska, Mikhail I. Ostrovskii.

• November, 2017

  • Non-expansive bijections to the unit ball of $\ell_1$-sum of strictly convex Banach spaces by Vladimir Kadets, Olesia Zavarzina.

  • Extremal Banach-Mazur distance between a symmetric convex body and an arbitrary convex body on the plane by Tomasz Kobos.

  • The isomorphism class of $c_0$ is not Borel by Ond?ej Kurka.

  • Light groups of isomorphisms of Banach spaces and invariant LUR renormings by Leandro Antunes, Valentin Ferenczi, Sophie Grivaux, Christian Rosendal.

  • Symmetrically separated sequences in the unit sphere of a Banach space by Petr H?jek, Tomasz Kania, Tommaso Russo.

  • Valuations on Banach lattices by Pedro Tradacete, Ignacio Villanueva.

• October, 2017

  • A coding of bundle graphs and their embeddings into Banach spaces by Andrew Swift.

  • Prescribed Szlenk index of iterated duals by Ryan M. Causey, Gilles Lancien.

  • Nonlinear weakly sequentially continuous embeddings between Banach spaces by Bruno de Mendon?a Braga.

  • Isomorphisms of $AC(\sigma)$ spaces for countable sets by Ian Doust, Shaymaa Al-shakarchi.

  • Gaussian fluctuations for high-dimensional random projections of $\ell_p^n$-balls by David Alonso-Gutierrez, Joscha Prochno, Christoph Thaele.

• September, 2017

  • When does $C(K, X)$ contain a complemented copy of $c_0(\Gamma)$ iff $X$ does? by El?i Medina Galego, Vin?cius Morelli Cortes.

  • Koml?s' Theorem and the Fixed Point Property for affine mappings by T. Dom?nguez Benavides, M. A, Jap?n.

  • On proximal mappings with Young functions in uniformly convex Banach spaces by Miroslav Bacak, Ulrich Kohlenbach.

  • Isometries on Banach algebras of vector-valued maps by Osamu Hatori, Shiho Oi.

  • Regular subspaces of a Bourgain-Delbaen space $\mathcal{B}_{mT}$ by Micha? ?wi?tek.

  • A Toolkit for Constructing Dilations on Banach Spaces by Stephan Fackler, Jochen Gl?ck.

  • High-dimensional limit theorems for random vectors in $\ell_p^n$-balls by Zakhar Kabluchko, Joscha Prochno, Christoph Thaele.

  • Extending surjective isometries defined on the unit sphere of $\ell_{\infty}(\Gamma)$ by Antonio M. Peralta.

  • On the separable quotient problem for Banach spaces by J.C. Ferrando, J. Kakol, M. Lopez-Pellicer, W. Sliwa.

  • Invariant subspaces for non-normable Fr?chet spaces by Menet Quentin.

• August, 2017

  • There is no finitely isometric Krivine's theorem by James Kilbane, Mikhail I. Ostrovski.

  • Observations on quasihyperbolic geometry modeled on Banach spaces by Antti Rasila, Jarno Talponen, Xiaohui Zhang.

  • Banach and quasi-Banach spaces of almost universal complemented disposition by Jes?s M. F. Castillo, Yolanda Moreno.

  • ?$(p,q)$-regular operators between Banach lattices by Enrique A. S?nchez-P?rez, Pedro Tradacete.

  • 1-complemented subspaces of Banach spaces of universal disposition by Jes?s M. F. Castillo, Yolanda Moreno.

  • The Mazur-Ulam property for the space of complex null sequences by Antonio Jim?nez-Vargas, Antonio Morales Campoy, Antonio M. Peralta, Mar?a Isabel Ram?rez.

  • Unconditionality of Periodic Orthonormal Spline Systems in $L^p$ by P.M. Bern?K. Keryan, M. Passenbrunner.

  • Some approximation results in Musielak-Orlicz spaces by Ahmed Youssfi, Youssef Ahmida.

• July, 2017

  • The exact constant for the $\ell_1-\ell_2$ norm inequality by Sara Botelho-Andrade, Peter G. Casazza, Desai Cheng, Tin Tran.

  • Positive operators as commutators of positive operators by Roman Drnov?ek, Marko Kandi?.

  • Best approximation properties in spaces of measurable functions by Maciej Ciesielski, Grzegorz Lewicki.

  • Lower and upper local uniform $K$-monotonicity in symmetric spaces by Maciej Ciesielski.

  • The dual Radon - Nikodym property for finitely generated Banach $C(K)$-Modules by Arkady Kitover, Mehmet Orhon.

  • Multiplication operators on $L^p$ by March Boedihardjo.

  • Embeddings and Lebesgue-type inequalities for the greedy algorithm in Banach spaces by P.M. Bern?, O. Blasco, G. Garrig?s, E. Hern?ndez. T. Oikhberg.

  • Injectivity and projectivity in $p$-multinormed spaces by Timur Oikhberg.

  • The almost-invariant subspace problem for Banach spaces by Adi Tcaciuc.

  • Concerning summable Szlenk index by RM Causey.

  • The algebras of bounded operators on the Tsirelson and Baernstein spaces are not Grothendieck spaces by Kevin Beanland, Tomasz Kania, Niels Jakob Laustsen.

  • Extremal structure and Duality of Lipschitz free spaces by Luis Garc?a-Lirola, Colin Petitjean, Antonin Proch?zka, Abraham Rueda Zoca.

  • Weak closure of ultrapowers of operators on $L_p$ by March Boedihardjo.

• June, 2017

  • Porosity and Differentiability of Lipschitz Maps from Stratified Groups to Banach Homogeneous Groups by Valentino Magnani, Andrea Pinamonti, Gareth Speight.

  • Ces?ro bounded operators in Banach spaces by Teresa Berm?dez, Antonio Bonilla, Vladimir M?ller, Alfredo Peris.

  • The free Banach lattice generated by a Banach space by Antonio Avil?s, Jos? Rodr?guez, Pedro Tradacete.

  • Interpolation and extrapolation of strictly singular operators between $L_p$ spaces by Francisco L. Hern?ndez, Evgeny M. Semenov, Pedro Tradacete.

  • On Using Toeplitz and Circulant Matrices for Johnson-Lindenstrauss Transforms by Casper Benjamin Freksen, Kasper Green Larsen.

• May, 2017

  • Asymptotic and coarse Lipschitz structures of quasi-reflexive Banach spaces by Gilles Lancien, Matias Raja.

  • Some remarks on smooth renormings of Banach spaces by Petr H?jek, Tommaso Russo.

  • On the Normality, Regularity and Chain-completeness of Partially Ordered Banach Spaces and Applications by Jinlu Li.

  • On strong asymptotic uniform smoothness and convexity by Luis Garc?a-Lirola, Mat?as Raja.

  • Strongly extreme points and approximation properties by Trond A. Abrahamsen, Petr H?jek, Olav Nygaard, Stanimir Troyanski.

  • 1-Greedy renormings of Garling sequence spaces by Fernado Albiac, Jos? L. Ansorena, Ben Wallis.

  • Power type asymptotically uniformly smooth and asymptotically uniformly flat norms by Ryan M Causey.

  • Not every infinite dimensional Banach space coarsely contains Hilbert space by Florent Baudier, Gilles Lancien, Thomas Schlumprecht.

  • Characterizations of smooth spaces by $\rho_*$-orthogonality by Mohammad Sal Moslehian, Ali Zamani, Mahdi Dehghani.

  • Images of nowhere differentiable Lipschitz maps of $[0,1]$ into $L_1[0,1]$ by Florin Catrina, Mikhail I. Ostrovskii.

  • Power type $\xi$-Asymptotically uniformly smooth and ?-asymptotically uniformly flat norms by R. M. Causey.

  • Asymptotic properties of Banach spaces and coarse quotient maps by Sheng Zhang.

  • M-ideal properties in Orlicz-Lorentz spaces by Anna Kami?ska, Han Ju Lee, Hyung-Joon Tag.

  • Generalization of a theorem of Zippin by Petr Hajek, Thomas Schlumprecht, Andras Zsak.

• April, 2017

  • On Embeddings of Finite Subsets of $\ell_p$ by James Kilbane.

  • Quantified asymptotic behaviour of Banach space operators and applications to iterative projection methods by Catalin Badea, David Seifert.

  • Some geometric properties of Read's space by Vladimir Kadets, Gines Lopez, Miguel Martin.

  • The Khintchine Inequality is equivalent to the Mixed $(\ell_{\frac{p}{p-1}}, \ell_2)$-Littlewood Inequality by Daniel N??ez-Alarc?n, Diana M. Serrano-Rodr?guez.

  • ?$L_p+L_{\infty}$ and $L_p\cap L_{\infty}$ are not isomorphic for all $1\leq p<\infty, p\neq 2$ by S.V. Astashkin, L. Maligranda.

  • ?$\Gamma$-flatness and Bishop-Phelps-Bollob?s type theorems for operators by Bernardo Cascales, Antonio J. Guirao, Vladimir Kadets, Mariia Soloviova.

  • A note on Sidon sets in bounded orthonormal systems by Gilles Pisier.

  • Coarse embeddings into superstable spaces by Bruno de Mendon?a Braga, Andrew Swift.

  • On the monotonicity of Minkowski sums towards convexity by Matthieu Fradelizi, Mokshay Madiman, Arnaud Marsiglietti, Artem Zvavitch.

  • Non-expansive bijections between unit balls of Banach spaces by Olesia Zavarzina.

  • Quantitative version of the Bishop-Phelps-Bollob?s theorem for operators with values in a space with the property $\beta$ by Vladimir Kadets, Mariia Soloviova.

• March, 2017

  • On a Schur-like property for spaces of measures by Sander C. Hille, Tomasz Szarek, Daniel T.H. Worm, Maria Ziemlanska.

  • On Multivariate Matsaev's Conjecture by Samya Kumar Ray.

  • Extending representations of Banach algebras to their biduals by Eusebio Gardella, Hannes Thiel.

  • Preduals for spaces of operators involving Hilbert spaces and trace-class operators by Hannes Thiel.

  • Coarse embeddings into $c_0(\Gamma)$ by Petr Hajek, Thomas Schlumprecht.

  • Extension operators and twisted sums of $c_0$ and $C(K)$ spaces by Witold Marciszewski, Grzegorz Plebanek.

  • Strong factorizations of operators with applications to Fourier and Ces?ro transforms by O. Delgado, M. Mastylo, E.A. Sanchez-Perez.

  • On convex combinations of slices of the unit ball in Banach spaces by Rainis Haller, Paavo Kuuseok, M?rt P?ldvere.

  • On an identification of the Lipschitz-free spaces over subsets of $R^n$ by Gonzalo Flores.

  • On the linear polarization constants of finite dimensional spaces by Daniel Carando, Dami?n Pinasco, Jorge Tom?s Rodr?guez.

  • On Garling sequence spaces by Fernando Albiac, Jos? L. Ansorena, Ben Wallis.

  • Fourier multipliers and weak differential subordination of martingales in UMD Banach spaces by Ivan Yaroslavtsev.

  • Lipschitz-free spaces over compact subsets of superreflexive spaces are weakly sequentially complete by Tomasz Kochanek, Eva Perneck?.

• February, 2017

  • Stability of average roughness, octahedrality, and strong diameter $2$ properties of Banach spaces with respect to absolute sums by Rainis Haller, Johann Langemets, Rihhard Nadel.

  • Marcinkiewicz theorem for Lorentz gamma spaces by V?t Musil, Rastislav O?hava.

  • Further results on strictly Lipschitz summing operators by Maatougui Belaala, Khalil Saadi.

  • An Ando-Choi-Effros lifting theorem respecting subspaces by Javier Alejandro Ch?vez-Dom?nguez.

  • On certain geometric properties in Banach spaces of vector-valued functions by Jan-David Hardtke.

  • Some natural subspaces and quotient spaces of $L^1$ by Gilles Godefroy, Nicolas Lerner.

  • Conditional quasi-greedy bases in non-superreflexive Banach spaces by Fernando Albiac, Jos? L. Ansorena, Przemys?aw Wojtaszczyk.

• January, 2017

  • Spear operators between Banach spaces by Vladimir Kadets, Miguel Martin, Javier Meri, Antonio Perez.

  • Compact-Like Operators in Lattice-Normed Spaces by A. Ayd?n, E. Yu. Emelyanov, N. Erkur?un ?zcan, M. A. A. Marabeh.

  • Injectivity and weak$^*$-to-weak continuity suffice for convergence rates in $\ell_1$-regularization by Jens Flemming, Daniel Gerth.

  • On the classification of positions and of complex structures in Banach spaces by Razvan Anisca, Valentin Ferenczi, Yolanda Moreno.

  • Universal function for a weighted space $L^1_u[0,1]$ by Artsrun Sargsyan, Martin Grigoryan.

  • Lacunary M?ntz spaces: isomorphisms and Carleson embeddings by Loic Gaillard, Pascal Lef?vre.

  • Relatively weakly open convex combinations of slices by Trond A. Abrahamsen, Vegard Lima.

  • The Szlenk index of $L_p(X)$ and $A_p$ by Ryan M. Causey.

  • Type, cotype and twisted sums induced by complex interpolation by Willian Hans Goes Corr?a.

  • Fixed points in convex cones by Nicolas Monod.

  • Unconditional bases of subspaces related to non-self-adjoint perturbations of self-adjoint operators by A.K.Motovilov, A.A.Shkalikov.