Banach February 2012

banach@mathdept.okstate.edu

3 participants
16 discussions

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
by Artem Zvavitch 28 Feb '12

28 Feb '12

Dear Friends, On March 30-April 1, 2012, the Department of Mathematical Science at Kent State University will host famous but still very informal: INFORMAL ANALYSIS SEMINAR and Lecture Series in Ergodic Theory and Probability. The plan for now is to start around 3pm Friday, and finish Sunday Evening (around 5pm). We will have lecture series by Yuval Peres (Microsoft Research) on "Transience of random walks, Unpredictable paths, percolation and Kakeya sets". Mark Rudelson (University of Michigan) on "Invertibility of random matrices". and lectures by Pablo Galindo (Universidad de Valencia / Purdue University), TBA Yun Sung Choi (Postech, Pohang South Korea) on "Slicely countably determined Banach spaces" Miguel Martin (University of Granada) on "The Uniform Convexity, Lushness and Bishop-Phelps-Bollobas Property" Please, also note that on Thursday, March 29 at 4:15pm we will have a Colloquium talk by Sergei Treil (Brown University) at 4:15. More information can be found on http://www.kent.edu/math/events/conferences/informal-analysis-seminar-2012.… The conference fee $65, which includes pick up/drop off from the airport/hotel and Friday/Saturday/Sunday lunches/dinners to be provided at the department. Also, a special price of $135 has been arranged for three nights stay at the Microtel in Streetsboro OH. The reservation must be done through the department. If you plan to stay fewer then 3 nights or prefer to make your own accommodation arrangements please reduce your registration fee by $45 for each day that you will not use our hotel. If possible, please, send a check for your registration fee, made out to "The Department of Mathematical Sciences" to Virginia Wright, The Department of Mathematical Sciences, Kent, State University, Kent, OH, US, 44242. The fee can be also paid during the registration (check/cash). Depending on availability of funds, we may waive the registration fee for young researchers and people without available funding!!!! Please contact Artem Zvavitch (zvavitch(a)math.kent.edu) or Dmitry Ryabogin (ryabogin(a)math.kent.edu) as soon as possible. SORRY FOR THE SHORT NOTICE AND LOOKING FORWARD TO SEEING YOU IN KENT! Very Informal Analysis Group At Kent State

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Abstract of a paper by Cleon S. Barroso
by alspach＠math.okstate.edu 16 Feb '12

16 Feb '12

This is an announcement for the paper "On the minimal space problem and a new result on existence of basic sequences in quasi-Banach spaces" by Cleon S. Barroso. Abstract: We prove that if $X$ is a quasi-normed space which possesses an infinite countable dimensional subspace with a separating dual, then it admits a strictly weaker Hausdorff vector topology. Such a topology is constructed explicitly. As an immediate consequence, we obtain an improvement of a well-known result of Kalton-Shapiro and Drewnowski by showing that a quasi-Banach space contains a basic sequence if and only if it contains an infinite countable dimensional subspace whose dual is separating. We also use this result to highlight a new feature of the minimal quasi-Banach space constructed by Kalton. Namely, which all of its $\aleph_0$-dimensional subspaces fail to have a separating family of continuous linear functionals. Archive classification: math.FA Submitted from: cleonbar(a)mat.ufc.br The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1202.3088 or http://arXiv.org/abs/1202.3088

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Abstract of a paper by Sean Li and Assaf Naor
by alspach＠math.okstate.edu 16 Feb '12

16 Feb '12

This is an announcement for the paper "Discretization and affine approximation in high dimensions" by Sean Li and Assaf Naor. Abstract: Lower estimates are obtained for the macroscopic scale of affine approximability of vector-valued Lipschitz functions on finite dimensional normed spaces, completing the work of Bates, Johnson, Lindenstrass, Preiss and Schechtman. This yields a new approach to Bourgain's discretization theorem for superreflexive targets. Archive classification: math.FA math.MG Submitted from: naor(a)cims.nyu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1202.2567 or http://arXiv.org/abs/1202.2567

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Abstract of a paper by Kevin Beanland, Daniel Freeman, and Rui Liu
by alspach＠math.okstate.edu 16 Feb '12

16 Feb '12

This is an announcement for the paper "Upper and lower estimates for Schauder frames and atomic decompositions" by Kevin Beanland, Daniel Freeman, and Rui Liu. Abstract: We prove that a Schauder frame for any separable Banach space is shrinking if and only if it has an associated space with a shrinking basis, and that a Schauder frame for any separable Banach space is shrinking and boundedly complete if and only if it has a reflexive associated space. To obtain these results, we prove that the upper and lower estimate theorems for finite dimensional decompositions of Banach spaces can be extended and modified to Schauder frames. We show as well that if a separable infinite dimensional Banach space has a Schauder frame, then it also has a Schauder frame which is not shrinking. Archive classification: math.FA Mathematics Subject Classification: 46B20 (Primary), 41A65 (Secondary) Remarks: 22 pages Submitted from: freeman(a)math.tamu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1202.2492 or http://arXiv.org/abs/1202.2492

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Abstract of a paper by Afonso S. Bandeira, Matthew Fickus, Dustin G. Mixon and Percy Wong
by alspach＠math.okstate.edu 16 Feb '12

16 Feb '12

This is an announcement for the paper "The road to deterministic matrices with the restricted isometry property" by Afonso S. Bandeira, Matthew Fickus, Dustin G. Mixon and Percy Wong. Abstract: The restricted isometry property (RIP) is a well-known matrix condition that provides state-of-the-art reconstruction guarantees for compressed sensing. While random matrices are known to satisfy this property with high probability, deterministic constructions have found less success. In this paper, we consider various techniques for demonstrating RIP deterministically, some popular and some novel, and we evaluate their performance. In evaluating some techniques, we apply random matrix theory and inadvertently find a simple alternative proof that certain random matrices are RIP. Later, we propose a particular class of matrices as candidates for being RIP, namely, equiangular tight frames (ETFs). Using the known correspondence between real ETFs and strongly regular graphs, we investigate certain combinatorial implications of a real ETF being RIP. Specifically, we give probabilistic intuition for a new bound on the clique number of Paley graphs of prime order, and we conjecture that the corresponding ETFs are RIP in a manner similar to random matrices. Archive classification: math.FA Remarks: 23 pages Submitted from: dmixon(a)princeton.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1202.1234 or http://arXiv.org/abs/1202.1234

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Abstract of a paper by William B. Johnson, Naratuka Ozawa, and Gideon Schechtman
by alspach＠math.okstate.edu 16 Feb '12

16 Feb '12

This is an announcement for the paper "A quantitative version of the commutator theorem for zero trace matrices" by William B. Johnson, Naratuka Ozawa, and Gideon Schechtman. Abstract: Let $A$ be a $m\times m$ complex matrix with zero trace and let $\e>0$. Then there are $m\times m$ matrices $B$ and $C$ such that $A=[B,C]$ and $\|B\|\|C\|\le K_\e m^\e\|A\|$ where $K_\e$ depends only on $\e$. Moreover, the matrix $B$ can be taken to be normal. Archive classification: math.FA Mathematics Subject Classification: 47B47, 15A60 Submitted from: gideon(a)weizmann.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1202.0986 or http://arXiv.org/abs/1202.0986

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Abstract of a paper by Sebastian Scholtes
by alspach＠math.okstate.edu 16 Feb '12

16 Feb '12

This is an announcement for the paper "A characterisation of inner product spaces by the maximal circumradius of spheres" by Sebastian Scholtes. Abstract: We will give a new characterisation of inner product spaces amongst normed vector spaces in terms of the maximal cirumradius of spheres. It will turn out that a normed vector space $(X,\norm{\cdot})$ with $\dim X\geq 2$ is an inner product space if and only if all spheres are not degenerate, i.e. the maximal circumradius of points on the sphere equals their radius. Archive classification: math.FA math.CA math.MG Mathematics Subject Classification: 46C15, 46B20 Remarks: 8 pages Submitted from: sebastian.scholtes(a)rwth-aachen.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1202.0503 or http://arXiv.org/abs/1202.0503

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Abstract of a paper by Hermann Pfitzner
by alspach＠math.okstate.edu 16 Feb '12

16 Feb '12

This is an announcement for the paper "A conjecture of Godefroy concerning James' theorem" by Hermann Pfitzner. Abstract: In this note we look at the interdependences between James' theorem and the boundary problem. To do so we show a variant of James' sup-theorem for C(K)-spaces conjectured by Godefroy: in order to know that a bounded weakly closed subset of a C(K)- space is weakly compact it is enough to test the sup-attainment only for measures with countable support. Archive classification: math.FA Remarks: to appear in Quarterly Journal of Math. Submitted from: Hermann.Pfitzner(a)univ-orleans.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1201.5471 or http://arXiv.org/abs/1201.5471

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Abstract of a paper by Greg Knese
by alspach＠math.okstate.edu 16 Feb '12

16 Feb '12

This is an announcement for the paper "Uchiyama's lemma and the John-Nirenberg inequality" by Greg Knese. Abstract: Using integral formulas based on Green's theorem and in particular a lemma of Uchiyama, we give simple proofs of comparisons of different BMO norms without using the John-Nirenberg inequality while we also give a simple proof of the strong John-Nirenberg inequality. Along the way we prove the inclusions of BMOA in the dual of H^1 and BMO in the dual of real H^1. Archive classification: math.CV math.FA Mathematics Subject Classification: 30H35, 30H10, 30J99 Remarks: 13 pages Submitted from: geknese(a)bama.ua.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1201.5354 or http://arXiv.org/abs/1201.5354

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Banach February 2012