Banach

banach@mathdept.okstate.edu

2549 discussions

Abstract of a paper by F. Sukochev and D. Zanin
by alspach＠fourier.math.okstate.edu 05 Mar '10

05 Mar '10

This is an announcement for the paper "Khinchin inequality and Banach-Saks type properties in rearrangement-invariant spaces" by F. Sukochev and D. Zanin. Abstract: \begin{abstract} {\it We study the class of all rearrangement-invariant (=r.i.) function spaces $E$ on $[0,1]$ such that there exists $0<q<1$ for which $ \Vert \sum_{_{k=1}}^n\xi_k\Vert _{E}\leq Cn^{q}$, where $\{\xi_k\}_{k\ge 1}\subset E$ is an arbitrary sequence of independent identically distributed symmetric random variables on $[0,1]$ and $C>0$ does not depend on $n$. We completely characterize all Lorentz spaces having this property and complement classical results of Rodin and Semenov for Orlicz spaces $exp(L_p)$, $p\ge 1$. We further apply our results to the study of Banach-Saks index sets in r.i. spaces. \end{abstract} Archive classification: math.FA Mathematics Subject Classification: 46E30 (46B09 46B20) Citation: Studia Math. 191 (2009), no. 2, 101--122 The source file(s), sukochev_zanin_submitted.tex: 67832 bytes, is(are) stored in gzipped form as 1001.2432.gz with size 20kb. The corresponding postcript file has gzipped size 84kb. Submitted from: zani0005(a)csem.flinders.edu.au The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1001.2432 or http://arXiv.org/abs/1001.2432 or by email in unzipped form by transmitting an empty message with subject line uget 1001.2432 or in gzipped form by using subject line get 1001.2432 to: math(a)arXiv.org.

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Abstract of a paper by Nigel J. Kalton and Marisa Zymonopoulou
by alspach＠fourier.math.okstate.edu 05 Mar '10

05 Mar '10

This is an announcement for the paper "Positive definite distributions and normed spaces" by Nigel J. Kalton and Marisa Zymonopoulou. Abstract: We answer a question of Alex Koldobsky on isometric embeddings of finite dimensional normed spaces. Archive classification: math.FA Mathematics Subject Classification: 52A21 The source file(s), zymnotes4.tex: 71037 bytes, is(are) stored in gzipped form as 1001.1412.gz with size 21kb. The corresponding postcript file has gzipped size 84kb. 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/1001.1412 or http://arXiv.org/abs/1001.1412 or by email in unzipped form by transmitting an empty message with subject line uget 1001.1412 or in gzipped form by using subject line get 1001.1412 to: math(a)arXiv.org.

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Abstract of a paper by Enrique A. Sanchez Perez and Dirk Werner
by alspach＠fourier.math.okstate.edu 05 Mar '10

05 Mar '10

This is an announcement for the paper "The geometry of L^p-spaces over atomless measure spaces and the Daugavet property" by Enrique A. Sanchez Perez and Dirk Werner. Abstract: We show that $L^p$-spaces over atomless measure spaces can be characterized in terms of a $p$-concavity type geometric property that is related with the Daugavet property. Archive classification: math.FA Mathematics Subject Classification: 46B04; 46B25 The source file(s), LpDaugavet7.tex: 44923 bytes, is(are) stored in gzipped form as 1001.1262.gz with size 14kb. The corresponding postcript file has gzipped size 84kb. Submitted from: werner(a)math.fu-berlin.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1001.1262 or http://arXiv.org/abs/1001.1262 or by email in unzipped form by transmitting an empty message with subject line uget 1001.1262 or in gzipped form by using subject line get 1001.1262 to: math(a)arXiv.org.

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Abstract of a paper by Matthew Daws
by alspach＠fourier.math.okstate.edu 05 Mar '10

05 Mar '10

This is an announcement for the paper "A bicommutant theorem for dual Banach algebras" by Matthew Daws. Abstract: A dual Banach algebra is a Banach algebra which is a dual space, with the multiplication being separately weak$^*$-continuous. We show that given a unital dual Banach algebra $\mc A$, we can find a reflexive Banach space $E$, and an isometric, weak$^*$-weak$^*$-continuous homomorphism $\pi:\mc A\to\mc B(E)$ such that $\pi(\mc A)$ equals its own bicommutant. Archive classification: math.FA Mathematics Subject Classification: 46H05, 46H15, 47L10 Remarks: 6 pages The source file(s), dba.tex: 23544 bytes, is(are) stored in gzipped form as 1001.1146.gz with size 8kb. The corresponding postcript file has gzipped size 84kb. Submitted from: matt.daws(a)cantab.net The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1001.1146 or http://arXiv.org/abs/1001.1146 or by email in unzipped form by transmitting an empty message with subject line uget 1001.1146 or in gzipped form by using subject line get 1001.1146 to: math(a)arXiv.org.

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Abstract of a paper by Mathieu Meyer, Carsten Schutt and Elisabeth M. Werner
by alspach＠fourier.math.okstate.edu 05 Mar '10

05 Mar '10

This is an announcement for the paper "A convex body whose centroid and Santalo point are far apart" by Mathieu Meyer, Carsten Schutt and Elisabeth M. Werner. Abstract: We give an example of a convex body whose centroid and Santal\'o point are ``far apart". Archive classification: math.FA Mathematics Subject Classification: 52A20, 53A15 The source file(s), symmetrie25-12-09.tex: 65533 bytes, is(are) stored in gzipped form as 1001.0714.gz with size 16kb. The corresponding postcript file has gzipped size 84kb. Submitted from: elisabeth.werner(a)case.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1001.0714 or http://arXiv.org/abs/1001.0714 or by email in unzipped form by transmitting an empty message with subject line uget 1001.0714 or in gzipped form by using subject line get 1001.0714 to: math(a)arXiv.org.

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Workshop at A&M
by Bill Johnson 15 Feb '10

15 Feb '10

Workshop in Analysis and Probability Department of Mathematics Texas A&M University 2010 Rostislav Grigorchuk (chair) and Oleg Musin are organizing a one day Workshop on "Asymptotic and Extreme Properties of Metric Spaces and Groups" for Monday, April 12. This meeting is directed to asymptotic and extreme properties of metric spaces, manifolds, groups, and groupoids. The home page for this Workshop is at http://www.math.tamu.edu/~grigorch/conf/2010workshop.html The Summer 2010 Workshop in Analysis and Probability at Texas A&M University will be in session from July 6 until August 1. For information about the Workshop, consult the Workshop Home Page, whose new URL is http://www.math.tamu.edu/conferences/linanalysis/ The Informal Regional Functional Analysis Seminar (SUMIRFAS) will be held July 30 - August 1. Michael Anshelevich (chair), Jinho Baik, and Roland Speicher are organizing a Concentration Week on "Orthogonal Polynomials in Probability Theory" for the week of July 6-10. The theme of this Concentration Week is orthogonal polynomial techniques in probability theory, especially in the study of random matrices, free probability, and multiple stochastic integrals. Baik and Speicher will give mini-courses designed to introduce non specialists to these topics. The home page for this Concentration Week is at http://www.math.tamu.edu/~manshel/OPPT/main.html Ilijas Farah and David Kerr (chair) are organizing a Concentration Week on "Set Theory and Functional Analysis" for the week of July 26-30. The broad theme will be recent applications of set theory in functional analysis, with emphasis on combinatorial phenomena and classifiability problems in operator algebras, dynamics, and Banach space theory. The program will include lecture series by Christian Rosendal, David Sherman, and Todor Tsankov. The home page for this Concentration Week is at http://www.math.tamu.edu/~kerr/concweek10/index.html 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 Larson <larson(a)math.tamu.edu>, Gilles Pisier <pisier(a)math.tamu.edu>, or Joel Zinn <jzinn(a)math.tamu.edu>. For information about the meeting "Asymptotic and Extreme Properties of Metric Spaces and Groups", contact Rostislav Grigorchuk <grigorch(a)math.tamu.edu>. For information about the Concentration Week "Orthogonal Polynomials in Probability Theory", contact Michael Anshelevich <manshel(a)math.tamu.edu>. For information about the Concentration Week "Set Theory and Functional Analysis", contact David Kerr <kerr(a)math.tamu.edu>.

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Conference Announcement
by Dale Alspach 08 Jan '10

08 Jan '10

The 6th Conference on Function Spaces will be held at the SIUE campus near St. Louis between May 17 and May 22, 2010. More information may be found at: http://www.siue.edu/MATH/conference2010/ The organizer received a small grant to defray the attendance cost; according to the NSF rules priority will be given to young mathematicians (including graduate students) without other sources of support. Krzysztof Jarosz Department of Mathematics and Statistics Southern Illinois University Edwardsville Edwardsville, IL 62026-1653, USA tel.: (618) 650-2354 fax: (618) 650-3771 e-mail: kjarosz(a)siue.edu http://www.siue.edu/~kjarosz/

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Abstract of a paper by Vyacheslav V. Chistyakov and Yuliya V. Tretyachenko
by alspach＠fourier.math.okstate.edu 07 Jan '10

07 Jan '10

This is an announcement for the paper "Maps of several variables of finite total variation and Helly-type selection principles" by Vyacheslav V. Chistyakov and Yuliya V. Tretyachenko. Abstract: Given a map from a rectangle in the n-dimensional real Euclidean space into a metric semigroup, we introduce a concept of the total variation, which generalizes a similar concept due to T. H. Hildebrandt (1963) for real functions of two variables and A. S. Leonov (1998) for real functions of n variables, and study its properties. We show that the total variation has many classical properties of Jordan's variation such as the additivity, generalized triangle inequality and sequential lower semicontinuity. We prove two variants of a pointwise selection principle of Helly-type, one of which is as follows: a pointwise precompact sequence of metric semigroup valued maps on the rectangle, whose total variations are uniformly bounded, admits a pointwise convergent subsequence. Archive classification: math.FA Mathematics Subject Classification: 26B30 (Primary); 20M15; 28A20 (Secondary) Remarks: 47 pages, LaTeX, uses elsarticle.sty The source file(s), HSP_arX.tex: 126875 bytes The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1001.0451 or http://arXiv.org/abs/1001.0451 or by email in unzipped form by transmitting an empty message with subject line uget 1001.0451 or in gzipped form by using subject line get 1001.0451 to: math(a)arXiv.org.

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Abstract of a paper by Narinder S Claire
by alspach＠fourier.math.okstate.edu 07 Jan '10

07 Jan '10

This is an announcement for the paper "The spectral mapping theorem" by Narinder S Claire. Abstract: We prove the Spectral Mapping Theorem for the Helffer-Sj\"ostrand functional calculus for linear operators on Banach spaces with real spectra and consequently give a new proof for the Spectral Mapping Theorem for self-adjoint operators on Hilbert spaces. Archive classification: math.SP math.FA Mathematics Subject Classification: 47A60 Remarks: latex 12 pages The source file(s), integral.eps: 33099 bytes The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1001.0232 or http://arXiv.org/abs/1001.0232 or by email in unzipped form by transmitting an empty message with subject line uget 1001.0232 or in gzipped form by using subject line get 1001.0232 to: math(a)arXiv.org.

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Abstract of a paper by Jaegil Kim and Shlomo Reisner
by alspach＠fourier.math.okstate.edu 07 Jan '10

07 Jan '10

This is an announcement for the paper "Local minimality of the volume-product at the simplex" by Jaegil Kim and Shlomo Reisner. Abstract: It is proved that the simplex is a strict local minimum for the volume-product P(K)=min vol(K)vol(K^z), in the Banach-Mazur space of n-dimensional (classes of ) convex bodies. Here K^z is the polar body of K about the point z and the minimum is taken over all the points z in the interior of K. Linear local stability in the neighborhood of the simplex is proved as well. In the proof, methods that were recently introduced by Nazarov, Petrov, Ryabogin and Zvavitch are extended to the non-symmetric setting. Archive classification: math.MG math.FA Mathematics Subject Classification: 52A40 The source file(s), KR-loc-min-simplex.tex: 34954 bytes, is(are) stored in gzipped form as 1001.0217.gz with size 12kb. The corresponding postcript file has gzipped size 84kb. Submitted from: reisner(a)math.haifa.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1001.0217 or http://arXiv.org/abs/1001.0217 or by email in unzipped form by transmitting an empty message with subject line uget 1001.0217 or in gzipped form by using subject line get 1001.0217 to: math(a)arXiv.org.

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