Banach July 2010

banach@mathdept.okstate.edu

3 participants
25 discussions

Abstract of a paper by Jaegil Kim, Vladyslav Yaskin and Artem Zvavitch
by alspach＠fourier.math.okstate.edu 04 Jul '10

04 Jul '10

This is an announcement for the paper "The geometry of p-convex intersection bodies" by Jaegil Kim, Vladyslav Yaskin and Artem Zvavitch. Abstract: Busemann's theorem states that the intersection body of an origin-symmetric convex body is also convex. In this paper we provide a version of Busemann's theorem for p-convex bodies. We show that the intersection body of a p-convex body is q-convex for certain q. Furthermore, we discuss the sharpness of the previous result by constructing an appropriate example. This example is also used to show that IK, the intersection body of K, can be much farther away from the Euclidean ball than K. Finally, we extend these theorems to some general measure spaces with log-concave and $s$-concave measures Archive classification: math.FA Mathematics Subject Classification: 44A12, 52A15, 52A21 Submitted from: zvavitch(a)math.kent.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1006.1546 or http://arXiv.org/abs/1006.1546

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Abstract of a paper by Geraldo Botelho, Erhan Caliskan and Daniel Pellegrino
by alspach＠fourier.math.okstate.edu 04 Jul '10

04 Jul '10

This is an announcement for the paper "On the representation of multi-ideals by tensor norms" by Geraldo Botelho, Erhan Caliskan and Daniel Pellegrino. Abstract: A tensor norm isomorphism. In this paper we study the representation of multi-ideals and of ideals of multilinear forms by smooth tensor norms 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/1006.1540 or http://arXiv.org/abs/1006.1540

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Abstract of a paper by Konrad J. Swanepoel
by alspach＠fourier.math.okstate.edu 04 Jul '10

04 Jul '10

This is an announcement for the paper "Sets of unit vectors with small pairwise sums" by Konrad J. Swanepoel. Abstract: We study the sizes of delta-additive sets of unit vectors in a d-dimensional normed space: the sum of any two vectors has norm at most delta. One-additive sets originate in finding upper bounds of vertex degrees of Steiner Minimum Trees in finite dimensional smooth normed spaces (Z. F\"uredi, J. C. Lagarias, F. Morgan, 1991). We show that the maximum size of a delta-additive set over all normed spaces of dimension d grows exponentially in d for fixed delta>2/3, stays bounded for delta<2/3, and grows linearly at the threshold delta=2/3. Furthermore, the maximum size of a 2/3-additive set in d-dimensional normed space has the sharp upper bound of d, with the single exception of spaces isometric to three-dimensional l^1 space, where there exists a 2/3-additive set of four unit vectors. Archive classification: math.MG math.FA Mathematics Subject Classification: Primary 46B20. Secondary 52A21, 52B10 Citation: Quaestiones Mathematicae 23 (2000) 383-388 Remarks: 6 pages. Old paper of 10 years ago Submitted from: konrad.swanepoel(a)gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1006.1051 or http://arXiv.org/abs/1006.1051

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Abstract of a paper by F. Dadipour and M. S. Moslehian
by alspach＠fourier.math.okstate.edu 04 Jul '10

04 Jul '10

This is an announcement for the paper "A characterization of inner product spaces related to the p-angular distance" by F. Dadipour and M. S. Moslehian. Abstract: In this paper we present a new characterization of inner product spaces related to the p-angular distance. We also generalize some results due to Dunkl, Williams, Kirk, Smiley and Al-Rashed by using the notion of p-angular distance. Archive classification: math.FA Mathematics Subject Classification: Primary 46C15, Secondary 46B20, 46C05 Remarks: 9 Pages, to appear in J. Math. Anal. Appl. (JMAA) Submitted from: moslehian(a)ferdowsi.um.ac.ir The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1006.1022 or http://arXiv.org/abs/1006.1022

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SUMIRFAS announcement
by Bill Johnson 01 Jul '10

01 Jul '10

1st ANNOUNCEMENT OF SUMIRFAS 2010 The Informal Regional Functional Analysis Seminar July 30 - August 1 Texas A&M University, College Station Schedule: Talks for SUMIRFAS will be posted on the Workshop in Analysis and Probability page, URL http://www.math.tamu.edu/conferences/linanalysis/ 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 169. The Blocker Building is on Ireland St. just south of University Dr. on the Texas A&M campus: http://www.tamu.edu/map/building/overview/BLOC.html. Coffee and refreshments will be available in Blocker 148. Speakers at SUMIRFAS 2010 include Florent Baudier, On various geometric properties of metric spaces Ionut Chifan, Von Neumann algebras with unique group measure space Cartan subalgebras Ken Davidson, Nevanlinna-Pick interpolation and factorization of functionals Quanlei Fang, Commutators and localization on the Drury-Arveson space Kevin Beanland, Strictly singular operators between separable Banach spaces Ted Gamelin, Composition operators on uniform algebras Assaf Naor, Towards a calculus for non-linear spectral gaps Roger Smith, Close nuclear separable C$^*$-algebras Nicole Tomczak-Jaegermann, On random matrices with independent log-concave columns Joel A. Tropp, User-friendly tail bounds for sums of random matrices 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 We expect to be able to cover housing for most participants from support the National Science Foundation has provided for the Workshop. Preference will be given to participants who do not have other sources of support, such as sponsored research grants. When you ask Cara to book your room, please tell her if you are requesting support. Minorities, women, graduate students, and young researchers are especially encouraged to apply. 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, contact Cara Barton <cara(a)math.tamu.edu>. For more information on the Workshop itself, 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 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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Banach July 2010