Banach March 2013

banach@mathdept.okstate.edu

1 participants
7 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 Gideon Schechtman
by alspach＠math.okstate.edu 26 Mar '13

26 Mar '13

This is an announcement for the paper "Matrix subspaces of $L_1$" by Gideon Schechtman. Abstract: If $E=\{e_i\}$ and $F=\{f_i\}$ are two 1-unconditional basic sequences in $L_1$ with $E$ $r$-concave and $F$ $p$-convex, for some $1\le r<p\le 2$, then the space of matrices $\{a_{i,j}\}$ with norm $\|\{a_{i,j}\}\|_{E(F)}=\big\|\sum_k \|\sum_l a_{k,l}f_l\|e_k\big\|$ embeds into $L_1$. This generalizes a recent result of Prochno and Sch\"utt. Archive classification: math.FA Mathematics Subject Classification: 46E30, 46B45, 46B15 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/1303.4590 or http://arXiv.org/abs/1303.4590

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Abstract of a paper by A. Manoussakis and A. Pelczar-Barwacz
by alspach＠math.okstate.edu 26 Mar '13

26 Mar '13

This is an announcement for the paper "Types of tightness in spaces with unconditional basis" by A. Manoussakis and A. Pelczar-Barwacz. Abstract: We present a reflexive Banach space with an unconditional basis which is quasi-minimal and tight by range, i.e. of type (4) in Ferenczi-Rosendal list within the framework of Gowers' classification program of Banach spaces, but contrary to the recently constructed space of type (4) also tight with constants, thus essentially extending the list of known examples in Gowers classification program. The space is defined on the base on a boundedly modified mixed Tsirelson space with use of a special coding function. Archive classification: math.FA Mathematics Subject Classification: 46B03 Submitted from: amanousakis(a)isc.tuc.gr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1303.2370 or http://arXiv.org/abs/1303.2370

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Abstract of a paper by Robert Deville and Oscar Madiedo
by alspach＠math.okstate.edu 26 Mar '13

26 Mar '13

This is an announcement for the paper "A characterization of the Radon-Nikodym property" by Robert Deville and Oscar Madiedo. Abstract: It is well known that every bounded below and non increasing sequence in the real line converges. We give a version of this result valid in Banach spaces with the Radon-Nikodym property, thus extending a former result of A. Proch\'azka. Archive classification: math.FA Mathematics Subject Classification: 91A05, 46B20, 46B22 Remarks: 10 pages, 2 figures Submitted from: oscar.reynaldo(a)mat.ucm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1303.1721 or http://arXiv.org/abs/1303.1721

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Abstract of a paper by Tomasz Kania, Piotr Koszmider and Niels Jakob Laustsen
by alspach＠math.okstate.edu 26 Mar '13

26 Mar '13

This is an announcement for the paper "A weak*-topological dichotomy with applications in operator theory" by Tomasz Kania, Piotr Koszmider and Niels Jakob Laustsen. Abstract: Denote by $[0,\omega_1)$ the locally compact Hausdorff space consisting of all countable ordinals, equipped with the order topology, and let $C_0[0,\omega_1)$ be the Banach space of scalar-valued, continuous functions which are defined on $[0,\omega_1)$ and vanish eventually. We show that a weakly$^*$ compact subset of the dual space of $C_0[0,\omega_1)$ is either uniformly Eberlein compact, or it contains a homeomorphic copy of the ordinal interval $[0,\omega_1]$. Using this result, we deduce that a Banach space which is a quotient of $C_0[0,\omega_1)$ can either be embedded in a Hilbert-generated Banach space, or it is isomorphic to the direct sum of $C_0[0,\omega_1)$ and a subspace of a Hilbert-generated Banach space. Moreover, we obtain a list of eight equivalent conditions describing the Loy--Willis ideal, which is the unique maximal ideal of the Banach algebra of bounded, linear operators on $C_0[0,\omega_1)$. As a consequence, we find that this ideal has a bounded left approximate identity, thus solving a problem left open by Loy and Willis, and we give new proofs, in some cases of stronger versions, of several known results about the Banach space $C_0[0,\omega_1)$ and the operators acting on it. Archive classification: math.FA math.GN Submitted from: t.kania(a)lancaster.ac.uk The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1303.0020 or http://arXiv.org/abs/1303.0020

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Abstract of a paper by Piotr W. Nowak
by alspach＠math.okstate.edu 26 Mar '13

26 Mar '13

This is an announcement for the paper "Group actions on Banach spaces" by Piotr W. Nowak. Abstract: Recently there has been growing interest in extending Kazhdan's property (T) to other Banach spaces, but even for such familiar classes as the Lebesgue spaces $L_p$, or even spaces isomorphic to the Hilbert space, this program proved to be challenging. Our goal in this survey is to give a fairly complete account of the recent developments and their applications. We purposely focus only on the case of Banach spaces which are not Hilbert spaces, discussing the latter case mainly as motivation. Wa also discuss metrically proper actions on Banach spaces, their interplay with fixed point properties and geometric applications. Archive classification: math.GR math.DS math.FA math.OA Submitted from: pnowak(a)mimuw.edu.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1302.6609 or http://arXiv.org/abs/1302.6609

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Nassif Ghoussoub Blog: Honoring Friends
by Dale Alspach 25 Mar '13

25 Mar '13

http://nghoussoub.com/2013/03/24/bill-joram-olek-ted-and-bob/

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Banach March 2013