December 2013 - Banach - mathdept.okstate.edu

INFORMAL ANALYSIS SEMINAR DEDICATED TO THE WORK OF JOE DIESTEL (March 20-21, 2010)
by Artem Zvavitch 20 Aug '16

20 Aug '16

Dear Friends, On Saturday - Sunday, March 20-21, 2010, (best arrival date Friday, March 19/ Departure Monday, March 22) the Department of Mathematical Sciences at Kent State University will be famous but still very informal. We are happy to announce an: INFORMAL ANALYSIS SEMINAR DEDICATED TO THE WORK OF JOE DIESTEL The following people are among speakers: Peter Casazza, Hans Jarchow, Alexander Koldobsky, Pepe Orihuela, Olek Pelczynski, Thomas Schlumprecht, Lutz Weis. It would be great if you could visit Kent State and participate in the seminar! The conference will have a registration fee of $200 WHICH INCLUDES: pick up/drop off from the airport, THREE DAY STAY in the Microtel hotel at Streetsboro, Saturday/Sunday lunches/dinners to be provided at the department. If you plan to stay fewer than 3 nights or prefer to make your own accommodation arrangements, please reduce your registration fee by $45 per day that you will not use our hotel arrangements. If possible, please send a check for your registration fee, made out to the Department of Mathematical Sciences, Kent State University. The check should be mailed to Virginia Wright, Department of Mathematical Sciences, Kent State University, Kent, OH, 44242. The fee can be also be paid during the registration (check/cash). The conference is supported by NSF; The Department of Mathematical Sciences and Kent State University. Depending on funds availability the fee may be waived for young researchers and people without available funding. Please, write as soon as possible to zvavitch(a)math.kent.edu May we ask you to respond as soon as February 19 (zvavitch(a)math.kent.edu) so that we can gauge the need for housing, lecture room(s), etc. Best Regards, Analysis group at Kent State!

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Informal Analysis Seminar at Kent State University, 1st-2nd March 2014
by Benjamin Jaye 23 Dec '13

23 Dec '13

Dear Colleague, The Department of Mathematics at Kent State University is happy to announce a meeting of the Kent State Informal Analysis Seminar. The Informal Analysis Seminar will be held on March 1-2, 2014. The plenary lecture series will be given by: Svetlana Jitomirskaya (UC Irvine), and Nets Katz (Caltech) Each speaker will deliver a four hour lecture series designed to be accessible for graduate students. The conference is supported by the NSF. Funding is available to cover the local expenses, and possibly travel expenses, of a limited number of participants. Graduate students, postdoctoral researchers, and members of underrepresented groups are particularly encouraged to apply for support. Further information, and an online registration form, can be found online at www.math.kent.edu/informal. Please feel free to contact us at informal(a)math.kent.edu for any further information. Attached is a poster that you are welcome to forward to any colleagues you think may be interested. Sincerely, The analysis group at Kent State University.

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Abstract of a paper by Elisabeth M. Werner and Turkay Yolcu
by alspach＠math.okstate.edu 17 Dec '13

17 Dec '13

This is an announcement for the paper "Equality characterization and stability for entropy inequalities" by Elisabeth M. Werner and Turkay Yolcu. Abstract: We characterize the equality case in a recently established entropy inequality. To do so, we show that characterization of equality is equivalent to uniqueness of the solution of a certain Monge Ampere differential equation. We prove the uniqueness of the solution using methods from mass transport, due to Brenier, and Gangbo-McCann. We then give stability versions for this entropy inequality, as well as for a reverse log Sobolev inequality and for the L_p-affine isoperimetric inequalities for both, log concave functions and convex bodies. In the case of convex bodies such stability results have only been known in all dimensions for p=1 and for p > 1 only for 0-symmetric bodies in the plane. Archive classification: math.FA 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/1312.4148 or http://arXiv.org/abs/1312.4148

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Abstract of a paper by Paolo Dulio, Richard J. Gardner and Carla Peri
by alspach＠math.okstate.edu 17 Dec '13

17 Dec '13

This is an announcement for the paper "Characterizing the dual mixed volume via additive functionals" by Paolo Dulio, Richard J. Gardner and Carla Peri. Abstract: Integral representations are obtained of positive additive functionals on finite products of the space of continuous functions (or of bounded Borel functions) on a compact Hausdorff space. These are shown to yield characterizations of the dual mixed volume, the fundamental concept in the dual Brunn-Minkowski theory. The characterizations are shown to be best possible in the sense that none of the assumptions can be omitted. The results obtained are in the spirit of a similar characterization of the mixed volume in the classical Brunn-Minkowski theory, obtained recently by Milman and Schneider, but the methods employed are completely different. Archive classification: math.FA math.MG Mathematics Subject Classification: Primary: 52A20, 52A30, secondary: 52A39, 52A41 Submitted from: Richard.Gardner(a)wwu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1312.4072 or http://arXiv.org/abs/1312.4072

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Abstract of a paper by Shahar Mendelson
by alspach＠math.okstate.edu 17 Dec '13

17 Dec '13

This is an announcement for the paper "A remark on the diameter of random sections of convex bodies" by Shahar Mendelson. Abstract: We obtain a new upper estimate on the Euclidean diameter of the intersection of the kernel of a random matrix with iid rows with a given convex body. The proof is based on a small-ball argument rather than on concentration and thus the estimate holds for relatively general matrix ensembles. Archive classification: math.FA Submitted from: shahar.mendelson(a)anu.edu.au The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1312.3608 or http://arXiv.org/abs/1312.3608

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Abstract of a paper by Dongyang Chen, Lei Li and Bentuo Zheng
by alspach＠math.okstate.edu 17 Dec '13

17 Dec '13

This is an announcement for the paper "Perturbations of frames" by Dongyang Chen, Lei Li and Bentuo Zheng. Abstract: In this paper, we give some sufficient conditions under which perturbations preserve Hilbert frames and near-Riesz bases. Similar results are also extended to frame sequences, Riesz sequences and Schauder frames. It is worth mentioning that some of our perturbation conditions are quite different from those used in the previous literatures on this topic. Archive classification: math.FA Remarks: to appear in Acta MAth. Sinica, English Series Submitted from: leilee(a)nankai.edu.cn The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1312.3460 or http://arXiv.org/abs/1312.3460

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Abstract of a paper by R. Lechner and M. Passenbrunner
by alspach＠math.okstate.edu 17 Dec '13

17 Dec '13

This is an announcement for the paper "Adaptive deterministic dyadic grids on spaces of homogeneous type" by R. Lechner and M. Passenbrunner. Abstract: In the context of spaces of homogeneous type, we develop a method to deterministically construct dyadic grids, specifically adapted to a given combinatorial situation. This method is used to estimate vector--valued operators rearranging martingale difference sequences such as the Haar system. Archive classification: math.FA Mathematics Subject Classification: 46E40 Remarks: 18 pages, 2 figures Submitted from: lechner(a)bayou.uni-linz.ac.at The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1312.3490 or http://arXiv.org/abs/1312.3490

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Abstract of a paper by Elizabeth S. Meckes and Mark W. Meckes
by alspach＠math.okstate.edu 17 Dec '13

17 Dec '13

This is an announcement for the paper "On the equivalence of modes of convergence for log-concave measures" by Elizabeth S. Meckes and Mark W. Meckes. Abstract: An important theme in recent work in asymptotic geometric analysis is that many classical implications between different types of geometric or functional inequalities can be reversed in the presence of convexity assumptions. In this note, we explore the extent to which different notions of distance between probability measures are comparable for log-concave distributions. Our results imply that weak convergence of isotropic log-concave distributions is equivalent to convergence in total variation, and is further equivalent to convergence in relative entropy when the limit measure is Gaussian. Archive classification: math.PR math.FA Submitted from: mark.meckes(a)case.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1312.3094 or http://arXiv.org/abs/1312.3094

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Abstract of a paper by Eytyhios Glakousakis and Sophocles Mercourakis
by alspach＠math.okstate.edu 17 Dec '13

17 Dec '13

This is an announcement for the paper "On the existence of 1-separated sequences on the unit ball of a finite dimensional Banach space" by Eytyhios Glakousakis and Sophocles Mercourakis. Abstract: Given a finite dimensional Banach space X with dimX = n and an Auerbach basis of X, it is proved that: there exists a set D of n + 1 linear combinations (with coordinates 0, -1, +1) of the members of the basis, so that each pair of different elements of D have distance greater than one. Archive classification: math.FA math.CO math.MG Submitted from: smercour(a)math.uoa.gr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1312.2896 or http://arXiv.org/abs/1312.2896

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Abstract of a paper by N. Machrafi, A. Elbour, and M. Moussa
by alspach＠math.okstate.edu 17 Dec '13

17 Dec '13

This is an announcement for the paper "Some characterizations of almost limited sets and applications" by N. Machrafi, A. Elbour, and M. Moussa. Abstract: Recently, J.X. Chen et al. introduced and studied the class of almost limited sets in Banach lattices. In this paper we establish some characterizations of almost limited sets in Banach lattices (resp. wDP* property of Banach lattices), that generalize some results obtained by J.X. Chen et al.. Also, we introduce and study the class of the almost limited operators, which maps the closed unit bull of a Banach space to an almost limited subset of a Banach lattice. Some results about the relationship between the class of almost limited operators and that of L-weakly compact (resp. M-weakly compact, resp. compact) operators are presented. Archive classification: math.FA Mathematics Subject Classification: 46B42 (Primary) 46B50, 47B65 (Secondary) Remarks: 9 pages Submitted from: azizelbour(a)hotmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1312.2770 or http://arXiv.org/abs/1312.2770

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