Banach March 2011

banach@mathdept.okstate.edu

2 participants
20 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 Nazim I. Mahmudov
by alspach＠math.okstate.edu 21 Mar '11

21 Mar '11

This is an announcement for the paper "Korovkin type theorem for iterates of certain positive linear operators" by Nazim I. Mahmudov. Abstract: In this paper we prove that if T:C[0,1]→C[0,1] is a positive linear operator with T(e₀)=1 and T(e₁)-e₁ does not change the sign, then the iterates T^{m} converges to some positive linear operator T^{∞} :C[0,1]→C[0,1] and we derive quantitative estimates in terms of modulii of smoothness. This result enlarges the class of operators for which the limit of the iterates can be computed and the quantitative estimates of iterates can be given. Archive classification: math.FA Submitted from: mahmudov2009(a)gmail.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.2918 or http://arXiv.org/abs/1103.2918

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Abstract of a paper by Dirk Werner
by alspach＠math.okstate.edu 21 Mar '11

21 Mar '11

This is an announcement for the paper "Nigel Kalton's work in isometrical Banach space theory" by Dirk Werner. Abstract: This paper surveys some of the late Nigel Kalton's contributions to Banach space theory. The paper is written for the Nigel Kalton Memorial Website http://mathematics.missouri.edu/kalton/, which is scheduled to go online in summer 2011. Archive classification: math.FA Mathematics Subject Classification: 46B04, 46B03, 46B28 Submitted from: werner(a)math.fu-berlin.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.3153 or http://arXiv.org/abs/1103.3153

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Abstract of a paper by Ondrej F.K. Kalenda and Jiri Spurny
by alspach＠math.okstate.edu 21 Mar '11

21 Mar '11

This is an announcement for the paper "On a difference between quantitative weak sequential completeness and the quantitative Schur property" by Ondrej F.K. Kalenda and Jiri Spurny. Abstract: We study quantitative versions of the Schur property and weak sequential completeness, proceeding thus with investigations started by G. Godefroy, N. Kalton and D. Li and continued by H. Pfitzner and the authors. We show that the Schur property of $\ell_1$ holds quantitatively in the strongest possible way and construct an example of a Banach space which is quantitatively weakly sequentially complete, has the Schur property but fails the quantitative form of the Schur property. Archive classification: math.FA Mathematics Subject Classification: 46B20, 46B25 Remarks: 7 pages Submitted from: kalenda(a)karlin.mff.cuni.cz The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.2975 or http://arXiv.org/abs/1103.2975

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Abstract of a paper by Boaz Klartag and Emanuel Milman
by alspach＠math.okstate.edu 21 Mar '11

21 Mar '11

This is an announcement for the paper "Centroid bodies and the logarithmic Laplace transform - A unified approach" by Boaz Klartag and Emanuel Milman. Abstract: We unify and slightly improve several bounds on the isotropic constant of high-dimensional convex bodies; in particular, a linear dependence on the body's psi-2 constant is obtained. Along the way, we present some new bounds on the volume of L_p-centroid bodies and yet another equivalent formulation of Bourgain's hyperplane conjecture. Our method is a combination of the L_p-centroid body technique of Paouris and the logarithmic Laplace transform technique of the first named author. Archive classification: math.FA Submitted from: klartagb(a)post.tau.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.2985 or http://arXiv.org/abs/1103.2985

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Abstract of a paper by Gilles Pisier
by alspach＠math.okstate.edu 21 Mar '11

21 Mar '11

This is an announcement for the paper "Completely co-bounded Schur multipliers" by Gilles Pisier. Abstract: A linear map $u\colon \ E\to F$ between operator spaces is called completely co-bounded if it is completely bounded as a map from $E$ to the opposite of $F$. We give several simple results about completely co-bounded Schur multipliers on $B(\ell_2)$ and the Schatten class $S_p$. We also consider Herz-Schur multipliers on groups. Archive classification: math.FA math.OA Submitted from: pisier(a)math.jussieu.fr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.2108 or http://arXiv.org/abs/1103.2108

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Abstract of a paper by Gilles Pisier
by alspach＠math.okstate.edu 21 Mar '11

21 Mar '11

This is an announcement for the paper "Random series of trace class operators" by Gilles Pisier. Abstract: In this lecture, we present some results on Gaussian (or Rademacher) random series of trace class operators, mainly due jointly with F. Lust-Piquard. We will emphasize the probabilistic reformulation of these results, as well as the open problems suggested by them. We start by a brief survey of what is known about the problem of characterizing a.s. convergent (Gaussian or Rademacher) series of random vectors in a Banach space. The main result presented here is that for certain pairs of Banach spaces $E,F$ that include Hilbert spaces (and type 2 spaces with the analytic UMD property), we have $$ R(E\widehat\otimes F) =R(E)\widehat\otimes F + E\widehat\otimes R(F) $$ where $R(E)$ denotes the space of convergent Rademacher series with coefficients in $E$ and $E\widehat\otimes F$ denotes the projective tensor product. Archive classification: math.FA math.OA math.PR Mathematics Subject Classification: 46B09 Citation: Proceedings Cuarto CLAPEM Mexico 1990. Contribuciones en The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.2090 or http://arXiv.org/abs/1103.2090

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Abstract of a paper by Boris Rubin
by alspach＠math.okstate.edu 21 Mar '11

21 Mar '11

This is an announcement for the paper "Funk, cosine, and sine transforms on Stiefel and Grassmann manifolds, II" by Boris Rubin. Abstract: We investigate analytic continuation of the matrix cosine and sine transforms introduced in Part I and depending on a complex parameter $\a$. It is shown that the cosine transform corresponding to $\a=0$ is a constant multiple of the Funk-Radon transform in integral geometry for a pair of Stiefel (or Grassmann) manifolds. The same case for the sine transform gives the identity operator. These results and the relevant composition formula for the cosine transforms were established in Part I in the sense of distributions. Now we have them pointwise. Some new problems are formulated. Archive classification: math.FA Remarks: 18 pages Submitted from: borisr(a)math.lsu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.1161 or http://arXiv.org/abs/1103.1161

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Abstract of a paper by Tord Sj\"odin
by alspach＠math.okstate.edu 21 Mar '11

21 Mar '11

This is an announcement for the paper "A note on Gram-Schmidt's algorithm for a general angle" by Tord Sj\"odin. Abstract: The Gram-Schmidt algorithm produces a pairwise orthogonal set from a linearly independent set of vectors in an inner product vector space V. We give a linear algorithm that constructs vectors with the same span and which have pairwise the same prescribed angle or distance, in all cases where this is possible. Finally, we prove an asymptotic property in the case of an infinite dimensional space V. Archive classification: math.FA math.GM math.MG Mathematics Subject Classification: Primary 15 A 03, Secondary 15 A 63, 46 C 05 Remarks: 8 pages Submitted from: tord.sjodin(a)math.umu.se The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.1310 or http://arXiv.org/abs/1103.1310

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Abstract of a paper by Enrique A. Sanchez Perez and Dirk Werner
by alspach＠math.okstate.edu 21 Mar '11

21 Mar '11

This is an announcement for the paper "The $p$-Daugavet property for function spaces" by Enrique A. Sanchez Perez and Dirk Werner. Abstract: A natural extension of the Daugavet property for $p$-convex Banach function spaces and related classes is analysed. As an application, we extend the arguments given in the setting of the Daugavet property to show that no reflexive space falls into this class. Archive classification: math.FA Mathematics Subject Classification: Primary 46B04, secondary 46B25 Submitted from: werner(a)math.fu-berlin.de The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1103.1284 or http://arXiv.org/abs/1103.1284

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Banach March 2011