Banach

banach@mathdept.okstate.edu

2549 discussions

Banach Spaces Workshop, June 6-9, 2012 in Birmingham, UK
by Olga Maleva 16 Jan '12

16 Jan '12

Dear Colleagues, Please find below an announcement of a workshop that may be of interest to you. BANACH SPACES WORKSHOP 2012 June 6-9, 2012 University of Birmingham Birmingham, United Kingdom Speakers: * Frederic Bayart, Universite Bordeaux * Pandelis Dodos, University of Athens * Vladimir Fonf, Ben-Gurion University * Petr Hajek, Academy of Science of the Czech Republic * Richard Haydon, University of Oxford * William Johnson, Texas A&M University * Gilles Lancien, Universite de Franche Comte * Maria Roginskaya, Goeteborgs Universitet * Gideon Schechtman, Weizmann Institute of Science * Thomas Schlumprecht, Texas A&M University * Jaroslav Tiser, Czech Technical University * Ludek Zajicek, Charles University Organisers: * Olga Maleva, University of Birmingham * David Preiss, University of Warwick The homepage of the workshop is: http://tinyurl.com/banach-workshop For more information on the Workshop, please contact Olga Maleva <o.maleva(a)bham.ac.uk>. We expect to be able to cover some expenses for participants at an early stage of their career (PhD students, postdocs). When you email the organisers to register, please tell if you are requesting financial support. We ask to register an interest in attending the workshop by emailing Olga Maleva by 15 April 2012.

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Abstract of a paper by Gilles Godefroy and Narutaka Ozawa
by alspach＠math.okstate.edu 12 Jan '12

12 Jan '12

This is an announcement for the paper "Free Banach spaces and the approximation properties" by Gilles Godefroy and Narutaka Ozawa. Abstract: We characterize the metric spaces whose free space has the bounded approximation property through a Lipschitz analogue of the local reflexivity principle. We show that there exist compact metric spaces whose free spaces fail the approximation property. Archive classification: math.FA Mathematics Subject Classification: 46B20, 46B28, 46B50 Remarks: 7 pages Submitted from: narutaka(a)kurims.kyoto-u.ac.jp The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1201.0847 or http://arXiv.org/abs/1201.0847

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Abstract of a paper by Tuomas P. Hytonen and Antti V. Vahakangas
by alspach＠math.okstate.edu 12 Jan '12

12 Jan '12

This is an announcement for the paper "The local non-homogeneous Tb theorem for vector-valued functions" by Tuomas P. Hytonen and Antti V. Vahakangas. Abstract: We extend the local non-homogeneous Tb theorem of Nazarov, Treil and Volberg to the setting of singular integrals with operator-valued kernel that act on vector-valued functions. Here, `vector-valued' means `taking values in a function lattice with the UMD (unconditional martingale differences) property'. A similar extension (but for general UMD spaces rather than UMD lattices) of Nazarov-Treil-Volberg's global non-homogeneous Tb theorem was achieved earlier by the first author, and it has found applications in the work of Mayboroda and Volberg on square-functions and rectifiability. Our local version requires several elaborations of the previous techniques, and raises new questions about the limits of the vector-valued theory. Archive classification: math.FA Mathematics Subject Classification: 42B20 (Primary), 42B25, 46E40, 60G46 (Secondary) Submitted from: antti.vahakangas(a)helsinki.fi The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1201.0648 or http://arXiv.org/abs/1201.0648

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Abstract of a paper by Pascal Lefevre, Daniel Li, Herve Queffelec, and Luis Rodriguez-Piazza
by alspach＠math.okstate.edu 12 Jan '12

12 Jan '12

This is an announcement for the paper "Some new properties of composition operators associated with lens maps" by Pascal Lefevre, Daniel Li, Herve Queffelec, and Luis Rodriguez-Piazza. Abstract: We give examples of results on composition operators connected with lens maps. The first two concern the approximation numbers of those operators acting on the usual Hardy space $H^2$. The last ones are connected with Hardy-Orlicz and Bergman-Orlicz spaces $H^\psi$ and $B^\psi$, and provide a negative answer to the question of knowing if all composition operators which are weakly compact on a non-reflexive space are norm-compact. Archive classification: math.FA Remarks: 21 pages Submitted from: daniel.li(a)euler.univ-artois.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1201.0636 or http://arXiv.org/abs/1201.0636

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Abstract of a paper by A. Koldobsky, G. Paouris and M. Zymonopoulou
by alspach＠math.okstate.edu 12 Jan '12

12 Jan '12

This is an announcement for the paper "Complex intersection bodies" by A. Koldobsky, G. Paouris and M. Zymonopoulou. Abstract: We introduce complex intersection bodies and show that their properties and applications are similar to those of their real counterparts. In particular, we generalize Busemann's theorem to the complex case by proving that complex intersection bodies of symmetric complex convex bodies are also convex. Other results include stability in the complex Busemann-Petty problem for arbitrary measures and the corresponding hyperplane inequality for measures of complex intersection bodies. Archive classification: math.FA Submitted from: marisa.zym(a)gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1201.0437 or http://arXiv.org/abs/1201.0437

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Abstract of a paper by Joscha Prochno
by alspach＠math.okstate.edu 12 Jan '12

12 Jan '12

This is an announcement for the paper "A note on the combinatorial generation of Musielak-Orlicz spaces" by Joscha Prochno. Abstract: We show, how one can generate Musielak-Orlicz norms, using matrix averages and combinatorial inequalities. Archive classification: math.FA Submitted from: prochno(a)math.uni-kiel.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1201.0108 or http://arXiv.org/abs/1201.0108

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Abstract of a paper by Taras Banakh, Ivan Hetman, and Katsuro Sakai
by alspach＠math.okstate.edu 12 Jan '12

12 Jan '12

This is an announcement for the paper "Recognizing the topology of the space of closed convex subsets of a Banach space" by Taras Banakh, Ivan Hetman, and Katsuro Sakai. Abstract: Let $X$ be a Banach space and $Conv_H(X)$ be the space of non-empty closed convex subsets of $X$, endowed with the Hausdorff metric $d_H$. We prove that each connected component of the space $Conv_H(X)$ is homeomorphic to one of the spaces: a singleton, the real line, a closed half-plane, the Hilbert cube multiplied by the half-line, the separable Hilbert space, or a Hilbert space of density not less than continuum. Archive classification: math.GT math.FA math.GN math.OC Mathematics Subject Classification: 57N20, 46A55, 46B26, 46B20, 52B05, 03E65 Remarks: 10 pages Submitted from: tbanakh(a)yahoo.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1112.6374 or http://arXiv.org/abs/1112.6374

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Abstract of a paper by Daniel Pellegrino, Joedson Santos and Juan B. Seoane-Sepulveda
by alspach＠math.okstate.edu 12 Jan '12

12 Jan '12

This is an announcement for the paper "A general Extraplolation Theorem for absolutely summing operators" by Daniel Pellegrino, Joedson Santos and Juan B. Seoane-Sepulveda. Abstract: In this note we prove a general version of the Extrapolation Theorem, extending the classical linear extrapolation theorem due to B. Maurey. Our result shows, in particular, that the operators involved do not need to be linear. Archive classification: math.FA Submitted from: dmpellegrino(a)gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1112.5901 or http://arXiv.org/abs/1112.5901

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Abstract of a paper by M. Jimenez-Sevilla and L. Sanchez-Gonzalez
by alspach＠math.okstate.edu 12 Jan '12

12 Jan '12

This is an announcement for the paper "On smooth extensions of vector-valued functions defined on closed subsets of Banach spaces" by M. Jimenez-Sevilla and L. Sanchez-Gonzalez. Abstract: Let $X$ and $Z$ be Banach spaces, $A$ a closed subset of $X$ and a mapping $f:A \to Z$. We give necessary and sufficient conditions to obtain a $C^1$ smooth mapping $F:X \to Z$ such that $F_{\mid_A}=f$, when either (i) $X$ and $Z$ are Hilbert spaces and $X$ is separable, or (ii) $X^*$ is separable and $Z$ is an absolute Lipschitz retract, or (iii) $X=L_2$ and $Z=L_p$ with $1<p<2$, or (iv) $X=L_p$ and $Z=L_2$ with $2<p<\infty$. Archive classification: math.FA Mathematics Subject Classification: 46B20 Remarks: 17 pages Submitted from: lfsanche(a)mat.ucm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1112.5888 or http://arXiv.org/abs/1112.5888

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Abstract of a paper by Antonio Aviles, Grzegorz Plebanek and Jose Rodriguez
by alspach＠math.okstate.edu 12 Jan '12

12 Jan '12

This is an announcement for the paper "A weak* separable C(K)* space whose unit ball is not weak* separable" by Antonio Aviles, Grzegorz Plebanek and Jose Rodriguez. Abstract: We provide a ZFC example of a compact space K such that C(K)* is w*-separable but its closed unit ball is not w*-separable. All previous examples of such kind had been constructed under CH. We also discuss the measurability of the supremum norm on that C(K) equipped with its weak Baire sigma-algebra. Archive classification: math.FA math.GN Submitted from: avileslo(a)um.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1112.5710 or http://arXiv.org/abs/1112.5710

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