Banach April 2014

banach@mathdept.okstate.edu

3 participants
15 discussions

Abstract of a paper by Daniel Carando and Martin Mazzitelli
by alspach＠math.okstate.edu 16 Apr '14

16 Apr '14

This is an announcement for the paper "Bounded holomorphic functions attaining their norms in the bidual" by Daniel Carando and Martin Mazzitelli. Abstract: Under certain hypotheses on the Banach space $X$, we prove that the set of analytic functions in $\mathcal{A}_u(X)$ (the algebra of all holomorphic and uniformly continuous functions in the ball of $X$) whose Aron-Berner extensions attain their norms, is dense in $\mathcal{A}_u(X)$. The result holds also for functions with values in a dual space or in a Banach space with the so-called property $(\beta)$. For this, we establish first a Lindenstrauss type theorem for continuous polynomials. We also present some counterexamples for the Bishop-Phelps theorem in the analytic and polynomial cases where our results apply. Archive classification: math.FA Submitted from: mmazzite(a)dm.uba.ar The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1403.6431 or http://arXiv.org/abs/1403.6431

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Abstract of a paper by Gustavo Araujo and Daniel Pellegrino
by alspach＠math.okstate.edu 16 Apr '14

16 Apr '14

This is an announcement for the paper "Spaceability and optimal estimates for summing multilinear operators" by Gustavo Araujo and Daniel Pellegrino. Abstract: We show that given a positive integer $m$, a real number $p\in\left[ 2,\infty\right) $ and $1\leq s<p^{\ast}$ the set of non--multiple $\left( r,s\right) $--summing $m$--linear forms on $\ell_{p}\times\cdots\times\ell_{p}$ is spaceable whenever $r<\frac{2ms}{s+2m-ms}$. This result is optimal since for $r\geq\frac{2ms}{s+2m-ms}$ all $m$--linear forms on $\ell _{p}\times\cdots\times\ell_{p}$ are multiple $\left( r,s\right) $--summing. Among other results, we improve some results from \cite{laa} and generalize a result related to cotype (from 2010) due to Botelho, Michels and the second named author. We also prove some new coincidence results for the class of absolutely summing multilinear operators. Archive classification: math.FA Submitted from: pellegrino(a)pq.cnpq.br The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1403.6064 or http://arXiv.org/abs/1403.6064

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Abstract of a paper by Oleg Reinov
by alspach＠math.okstate.edu 16 Apr '14

16 Apr '14

This is an announcement for the paper "Some thoughts on approximation properties" by Oleg Reinov. Abstract: We study some known approximation properties and introduce and investigate several new approximation properties, closely connected with different quasi-normed tensor products. These are the properties like the $AP_s$ or $AP_{(s,w)}$ for $s\in (0,1],$ which give us the possibility to identify the spaces of $s$-nuclear and $(s,w)$-nuclear operators with the corresponding tensor products (e.g., related to Lorentz sequence spaces). Some applications are given (in particular, we present not difficult proofs of the trace-formulas of Grothendieck-Lidskii type for several ideals of nuclear operators). Archive classification: math.FA Mathematics Subject Classification: 46B28 Spaces of operators, tensor products, approximation Remarks: 17 pages. A talk at "July 22-26 Positivity 2013 Holland, Leiden" Submitted from: orein51(a)mail.ru The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1403.4746 or http://arXiv.org/abs/1403.4746

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Workshop at Texas A&M
by Bill Johnson 10 Apr '14

10 Apr '14

Workshop in Analysis and Probability Department of Mathematics Texas A&M University Summer 2014 The Summer 2014 Workshop in Analysis and Probability at Texas A&M University will be in session from July 1 to 31, 2014. All activities will take place in the Blocker Building. The homepage of the Workshop can be found at http://www.math.tamu.edu/~kerr/workshop The Summer Informal Regional Functional Analysis Seminar (SUMIRFAS) will be held July 25-27. July 21-25 there will be a Concentration Week on "Free Probability", organized by Michael Anshelevich, Ken Dykema, and John Williams. This meeting aims both to introduce younger researchers to this fast-growing field and to showcase the latest results. Topics discussed will include operator algebras, 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 homepage can be found at http://www.math.tamu.edu/~jwilliams/Free_Probability_2014 Also, June 9-13 there will be a Concentration Week on "Groups, Groupoids, and Dynamics" organized by David Kerr and Volodymyr Nekrashevych (note the special dates, which fall outside the scope of the main Workshop period). This meeting aims to provide a forum for understanding and exploring various recent developments in groups and dynamics that revolve around groupoids and equivalence relations. Topics will include topological orbit equivalence, amenability, hyperbolicity, self-similar groups, entropy, and rigidity in measurable group theory. Lectures series will be given by Lewis Bowen and Thierry Giordano. The homepage can be found at http://www.math.tamu.edu/~kerr/concweek14 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(a)math.tamu.edu>. For more information on the Workshop itself, please contact William Johnson <johnson(a)math.tamu.edu>, David Kerr <kerr(a)math.tamu.edu>, or Gilles Pisier <pisier(a)math.tamu.edu>. For information about the Concentration Week on "Free Probability" contact Michael Anshelevich <manshel(a)math.tamu.edu>, Ken Dykema <ken.dykema(a)math.tamu.edu>, or John Williams <jwilliams(a)math.tamu.edu> For information about the Concentration Week on "Groups, Groupoids, Dynamics" contact David Kerr <kerr(a)math.tamu.edu> or Volodymyr Nekrashevych <nekrash(a)math.tamu.edu>.

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Geometry of Banach Spaces - A conference in honor of Stanimir Troyanski
by Jose Rodriguez 02 Apr '14

02 Apr '14

Dear colleagues: This is the third announcement of the conference Geometry of Banach Spaces - A conference in honor of Stanimir Troyanski which will be held in Albacete (Spain) on June 10-13, 2014, on the occasion of the 70th birthday of Stanimir Troyanski. The deadline for early registration is April 30. Our web page at https://sites.google.com/site/geometryofbanachspaces/ contains detailed information about the conference, including: registration and payment, abstract submission, accommodation and travel. Main speakers who accepted our invitation are: S. Argyros, J. Castillo, S. Dilworth, M. Fabian, V. Fonf, P. Hajek, R. Haydon, F. Hernandez, P. Kenderov, P. Koszmider, D. Kutzarova, V. Milman, A. Molto, J. Revalski, T. Schlumprecht, R. Smith, A. Suarez Granero. In addition, participants will have the opportunity to deliver a short talk. Please do not hesitate in contacting us at geometry.banach.spaces.2014(a)gmail.com if you need further information. Looking forward to meeting you! The organizers, A. Aviles, S. Lajara, J.P. Moreno, J. Rodriguez.

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Banach April 2014