Banach July 2014

banach@mathdept.okstate.edu

2 participants
14 discussions

Abstract of a paper by Slawomir Borzdynski and Andrzej Wisnicki
by alspach＠math.okstate.edu 21 Jul '14

21 Jul '14

This is an announcement for the paper "A common fixed point theorem for a commuting family of weak$^{\ast }$ continuous nonexpansive mappings" by Slawomir Borzdynski and Andrzej Wisnicki. Abstract: It is shown that if $S$ is a commuting family of weak$^{\ast }$ continuous nonexpansive mappings acting on a weak$^{\ast }$ compact convex subset $C$ of the dual Banach space $E$, then the set of common fixed points of $S$ is a nonempty nonexpansive retract of $C$. This partially solves a long-standing open problem in metric fixed point theory in the case of commutative semigroups. Archive classification: math.FA Submitted from: awisnic(a)hektor.umcs.lublin.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1407.0359 or http://arXiv.org/abs/1407.0359

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Abstract of a paper by Said Amana Abdillah, Jean Esterle, andBernhard Hermann Haak
by alspach＠math.okstate.edu 21 Jul '14

21 Jul '14

This is an announcement for the paper "Sur quelques extensions au cadre Banachique de la notion d'op\'erateur de Hilbert-Schmidt" by Said Amana Abdillah, Jean Esterle, and Bernhard Hermann Haak. Abstract: In this work we discuss several ways to extend to the context of Banach spaces the notion of Hilbert-Schmidt operators: $p$-summing operators, $\gamma$-summing or $\gamma$-radonifying operators, weakly $*1$-nuclear operators and classes of operators defined via factorization properties. We introduce the class $PS_2(E; F)$ of pre-Hilbert-Schmidt operators as the class of all operators $u:E\to F$ such that $w\circ u \circ v$ is Hilbert-Schmidt for every bounded operator $v: H_1\to E$ and every bounded operator $w:F\to H_2$, where $H_1$ et $H_2$ are Hilbert spaces. Besides the trivial case where one of the spaces $E$ or $F$ is a "Hilbert-Schmidt space", this space seems to have been described only in the easy situation where one of the spaces $E$ or $F$ is a Hilbert space. Archive classification: math.FA Remarks: 18 pages Submitted from: bernhard.haak(a)math.u-bordeaux1.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1406.7546 or http://arXiv.org/abs/1406.7546

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SUMIRFAS 2014
by Bill Johnson 21 Jul '14

21 Jul '14

2nd ANNOUNCEMENT OF SUMIRFAS 2014 The Summer Informal Regional Functional Analysis Seminar July 25-27 Texas A&M University, College Station The speakers for SUMIRFAS 2014 are March Boedihardjo A new characterization of certain quasidiagonal operators Michael Brannan L_p -representations of discrete quantum groups and exotic quantum group C*-algebras Caleb Eckhardt Unitary representations of nilpotent groups and the structure of the C*-algebras they generate Matthew Kennedy Boundaries of reduced C*-algebras of discrete groups Vern Paulsen Quantum chromatic numbers Gilles Pisier A continuum of C*-norms on B(H)?B(H) and related tensor products Lova Randrianarivony TBA Dan Voiculsecu Some C*-algebras which are coronas of non-C*-Banach algebras Deping Ye Is Einstein's "spooky action" common? The webpage for SUMIRFAS, including links to the schedule and abstracts, can be found at http://www.math.tamu.edu/~kerr/workshop/sumirfas2014 The first talk will be at 2:00 pm on Friday and the Seminar concludes by lunch time on Sunday. All talks will be in Blocker 166. The Blocker Building is on Ireland St. just south of University Dr. on the Texas A&M campus: http://www.math.tamu.edu/contact/blocker.html SUMIRFAS will be preceded by a Concentration Week on Free Probability from July 21 to 25. Topics will include operator algebras, the connections to random matrix theory, operator-valued and fully matricial techniques, stochastic processes, limit theorems, and free stochastic differential equations. The program will feature lecture series by Greg Anderson, Serban Belinschi, and Dimitri Shlyakhtenko. The webpage is located at: http://www.math.tamu.edu/~jwilliams/Free_Probability_2014 The Workshop is supported in part by grants from the National Science Foundation (NSF). Minorities, women, graduate students, and young researchers are especially encouraged to attend. For logistical support, including requests for support, please contact Cara Barton <cara at math.tamu.edu>. For more information on the Workshop itself, please contact William Johnson <johnson at math.tamu.edu>, David Kerr <kerr at math.tamu.edu>, or Gilles Pisier <pisier at math.tamu.edu>. For information about the Concentration Week on Free Probability contact Michael Anshelevich <manshel at math.tamu.edu>, Ken Dykema <ken.dykema at math.tamu.edu>, or John Williams <jwilliams at math.tamu.edu>.

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SUMIRFAS 2014
by Bill Johnson 02 Jul '14

02 Jul '14

1st ANNOUNCEMENT OF SUMIRFAS 2014 The Summer Informal Regional Functional Analysis Seminar July 25-27 Texas A&M University, College Station The speakers for SUMIRFAS 2014 are March Boedihardjo Gilles Pisier Michael Brannan Lova Randrianarivony Caleb Eckhardt Dan Voiculescu Matthew Kennedy Deping Ye Vern Paulsen The schedule for SUMIRFAS will be posted on the Workshop in Analysis and Probability webpage: http://www.math.tamu.edu/~kerr/workshop The first talk will be in the early afternoon on Friday and the Seminar concludes by lunch time on Sunday. All talks will be in Blocker 166. The Blocker Building is on Ireland St. just south of University Dr. on the Texas A&M campus: http://www.math.tamu.edu/contact/blocker.html Coffee and refreshments will be available in Blocker 148. SUMIRFAS will be preceded by a Concentration Week on Free Probability from July 21 to 25. Topics will include operator algebras, the connections to random matrix theory, operator-valued and fully matricial techniques, stochastic processes, limit theorems, and free stochastic differential equations. The program will feature lecture series by Greg Anderson, Serban Belinschi, and Dimitri Shlyakhtenko. The webpage is located at: http://www.math.tamu.edu/~jwilliams/Free_Probability_2014 The Workshop is supported in part by grants from the National Science Foundation (NSF). Minorities, women, graduate students, and young researchers are especially encouraged to attend. For logistical support, including requests for support, please contact Cara Barton <cara at math.tamu.edu>. For more information on the Workshop itself, please contact William Johnson <johnson at math.tamu.edu>, David Kerr <kerr at math.tamu.edu>, or Gilles Pisier <pisier at math.tamu.edu>. For information about the Concentration Week on Free Probability contact Michael Anshelevich <manshel at math.tamu.edu>, Ken Dykema <ken.dykema at math.tamu.edu>, or John Williams <jwilliams at math.tamu.edu>.

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Banach July 2014