Banach November 2011

banach@mathdept.okstate.edu

2 participants
23 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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Abstract of a paper by Christian Le Merdy
by alspach＠math.okstate.edu 28 Nov '11

28 Nov '11

This is an announcement for the paper "A sharp equivalence between $H^\infty$ functional calculus and square function estimates" by Christian Le Merdy. Abstract: Let T_t = e^{-tA} be a bounded analytic semigroup on Lp, with 1<p<\infty. It is known that if A and its adjoint A^* both satisfy square function estimates \bignorm{\bigl(\int_{0}^{\infty}\vert A^{1/2} T_t(x)\vert^2\, dt\,\bigr)^{1/2}_{Lp} \lesssim \norm{x} and \bignorm{\bigl(\int_{0}^{\infty}\vert A^{*}^{1/2} T_t^*(y)\vert^2\, dt\,\bigr)^{1/2}_{Lp'} \lesssim \norm{y} for x in Lp and y in Lp', then A admits a bounded H^{\infty}(\Sigma_\theta) functional calculus for any \theta>\frac{\pi}{2}. We show that this actually holds true for some \theta<\frac{\pi}{2}. Archive classification: math.FA Mathematics Subject Classification: 47A60, 47D06 Submitted from: clemerdy(a)univ-fcomte.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1111.3719 or http://arXiv.org/abs/1111.3719

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Abstract of a paper by Spiros A. Argyros and Pavlos Motakis
by alspach＠math.okstate.edu 28 Nov '11

28 Nov '11

This is an announcement for the paper "A reflexive HI space with the hereditary Invariant Subspace Property" by Spiros A. Argyros and Pavlos Motakis. Abstract: A reflexive hereditarily indecomposable Banach space $\mathfrak{X}_{_{^\text{ISP}}}$ is presented, such that for every $Y$ infinite dimensional closed subspace of $\mathfrak{X}_{_{^\text{ISP}}}$ and every bounded linear operator $T:Y\rightarrow Y$, the operator $T$ admits a non-trivial closed invariant subspace. Archive classification: math.FA math.OA Mathematics Subject Classification: 46B03, 46B06, 46B25, 46B45, 47A15 Remarks: 39 pages, no figures Submitted from: pmotakis(a)central.ntua.gr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1111.3603 or http://arXiv.org/abs/1111.3603

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Abstract of a paper by Diogo Diniz, Gustavo Munoz-Fernandez, Daniel Pellegrino and Juan B. Seoane-Sepulveda
by alspach＠math.okstate.edu 28 Nov '11

28 Nov '11

This is an announcement for the paper "Lower bounds for the constants in the Bohnenblust-Hille inequality: the case of real scalars" by Diogo Diniz, Gustavo Munoz-Fernandez, Daniel Pellegrino and Juan B. Seoane-Sepulveda. Abstract: The Bohnenblust-Hille inequality was obtained in 1931 and (in the case of real scalars) asserts that for every positive integer $N$ and every $m$-linear mapping $T:\ell_{\infty}^{N}\times\cdots\times\ell_{\infty}^{N}\rightarrow \mathbb{R}$ one has \begin{equation*} \left( \sum\limits_{i_{1},...,i_{m}=1}^{N}\left\vert T(e_{i_{^{1}}},...,e_{i_{m}})\right\vert ^{\frac{2m}{m+1}}\right) ^{\frac{m+1}{2m}}\leq C_{m}\left\Vert T\right\Vert , \end{equation*} for some positive constant $C_{m}$. Since then, several authors obtained upper estimates for the values of $C_{m}$. However, the novelty presented in this short note is that we provide lower (and non-trivial) bounds for $C_{m}$. 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/1111.3253 or http://arXiv.org/abs/1111.3253

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Abstract of a paper by Tal Weissblat
by alspach＠math.okstate.edu 28 Nov '11

28 Nov '11

This is an announcement for the paper "Santalo region of a log-concave function" by Tal Weissblat. Abstract: In this paper we define the Santalo region and the Floating body of a log-concave function. We then study their properties. Our main result is that any relation of Floating body and Santalo region of a convex body is translated to a relation of Floating body and Santalo region of an even log-concave function Archive classification: math.FA Submitted from: talvisbl(a)post.tau.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1111.2409 or http://arXiv.org/abs/1111.2409

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Abstract of a paper by S. K. Mercourakis and G. Vassiliadis
by alspach＠math.okstate.edu 28 Nov '11

28 Nov '11

This is an announcement for the paper "Equilateral sets in infinite dimensional Banach spaces" by S. K. Mercourakis and G. Vassiliadis. Abstract: We show that every Banach space $X$ containing an isomorphic copy of $c_0$ has an infinite equilateral set and also that if $X$ has a bounded biorthogonal system of size $\alpha$ then it can be renormed so as to admit an equilateral set of equal size. If $K$ is any compact non metrizable space, then under a certain combinatorial condition on $K$ the Banach space $C(K)$ has an uncountable equilateral set. Archive classification: math.FA math.MG Mathematics Subject Classification: Primary 46B20, Secondary 46B26, 46B04 Remarks: 15 pages, no figures 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/1111.2273 or http://arXiv.org/abs/1111.2273

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Abstract of a paper by Cedric Arhancet
by alspach＠math.okstate.edu 28 Nov '11

28 Nov '11

This is an announcement for the paper "Unconditionality, Fourier multipliers and Schur multipliers" by Cedric Arhancet. Abstract: Let $G$ be an infinite locally compact abelian group. If $X$ is Banach space, we show that if every bounded Fourier multiplier $T$ on $L^2(G)$ has the property that $T\ot Id_X$ is bounded on $L^2(G,X)$ then the Banach space $X$ is isomorphic to a Hilbert space. Moreover, if $1<p<\infty$, $p\not=2$, we prove that there exists a bounded Fourier multiplier on $L^p(G)$ which is not completely bounded. Finally, we examine unconditionality from the point of view of Schur multipliers. Indeed, we give several sufficient conditions to know if a Banach space or an operator space is isomorphic to a Hilbert space or completely isomorphic to an operator Hilbert space. Archive classification: math.FA math.OA Remarks: 16 pages Submitted from: cedric.arhancet(a)univ-fcomte.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1111.1664 or http://arXiv.org/abs/1111.1664

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Abstract of a paper by Marius Junge and Qiang Zeng
by alspach＠math.okstate.edu 28 Nov '11

28 Nov '11

This is an announcement for the paper "Noncommutative Bennett and Rosenthal Inequalities" by Marius Junge and Qiang Zeng. Abstract: In this paper we extend Bennett's and Bernstein's inequality to the noncommutative setting. In addition we provide an improved version of the noncommutative Rosenthal inequality, essentially due to Nagaev, Pinelis, and Pinelis, Utev for commutative random variables. We also present new best constants in Rosenthal's inequality. Applying these results to random Fourier projections, we recover and elaborate on fundamental results from compressed sensing, due to Candes, Romberg, and Tao. Archive classification: math.PR math.FA math.OA Mathematics Subject Classification: 46L53, 46L50, 60E15, 60F10, 94A12 Remarks: 28 pages Submitted from: zeng8(a)illinois.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1111.1027 or http://arXiv.org/abs/1111.1027

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Abstract of a paper by Eugenio Hernandez
by alspach＠math.okstate.edu 28 Nov '11

28 Nov '11

This is an announcement for the paper "Lebesgue-Type inequalities for quasi-greedy bases" by Eugenio Hernandez. Abstract: We show that for quasi-greedy bases in real Banach spaces the error of the thresholding greedy algorithm of order N is bounded by the best N-term error of approximation times a constant which depends on the democracy functions and the quasi-greedy constant of the basis. Archive classification: math.FA Mathematics Subject Classification: 41A65, 41A46, 41A17 Remarks: 8 pages Submitted from: eugenio.hernandez(a)uam.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1111.0460 or http://arXiv.org/abs/1111.0460

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Position at U Missouri
by Dale Alspach 09 Nov '11

09 Nov '11

The Department of Mathematics at the University of Missouri-Columbia invites applications for a tenure-track position at the rank of assistant professor in the field of Analysis to begin August 2012. Candidates must present evidence of excellence in teaching and research and must have earned a Ph.D. or equivalent in Mathematics by August 15, 2012. The successful candidate will be expected to conduct independent research, teach undergraduate and graduate courses, obtain external funding, and supervise graduate student research. Applicants should submit a cover letter, curriculum vitae, and statements of research and teaching interests. In addition, arrangements should be made for four letters of recommendation to be submitted to the department. One of these should specifically address teaching. Applicants should submit all materials, including letters of reference, through MathJobs.org. Screening of applicants will begin January 30, 2012 and will continue until the position is filled. The University of Missouri is an EEO/AA/ADA institution. If you have a disability and need accommodations in the job application process, please contact the MU ADA coordinator (hensonl(a)missouri.edu).

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Banach November 2011