May 2015 - 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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Abstract of a paper by Jussi Laitila and Hans-Olav Tylli
by alspach＠math.okstate.edu 18 May '15

18 May '15

This is an announcement for the paper "Composition operators on vector-valued analytic function spaces: a survey" by Jussi Laitila and Hans-Olav Tylli. Abstract: We survey recent results about composition operators induced by analytic self-maps of the unit disk in the complex plane on various Banach spaces of analytic functions taking values in infinite-dimensional Banach spaces. We mostly concentrate on the research line into qualitative properties such as weak compactness, initiated by Liu, Saksman and Tylli (1998), and continued in several other papers. We discuss composition operators on strong, respectively weak, spaces of vector-valued analytic functions, as well as between weak and strong spaces. As concrete examples, we review more carefully and present some new observations in the cases of vector-valued Hardy and BMOA spaces, though the study of composition operators has been extended to a wide range of spaces of vector-valued analytic functions, including spaces defined on other domains. Several open problems are stated. Archive classification: math.FA Mathematics Subject Classification: 47B33, 46E15, 46E40, 47B07 Citation: Acta et Commentationes Universitatis Tartuensis de Mathematica The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1505.01945 or http://arXiv.org/abs/1505.01945

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Abstract of a paper by Lorenzo Cavallina
by alspach＠math.okstate.edu 18 May '15

18 May '15

This is an announcement for the paper "Non-trivial translation-invariant valuations on $L^\infty$" by Lorenzo Cavallina. Abstract: Translation-invariant valuations on the space $L^\infty(\mathbb{R}^n)$ are examined. We prove that such functionals vanish on functions with compact support. Moreover a rich family of non-trivial translation-invariant valuations on $L^\infty(\mathbb{R}^n)$ is constructed through the use of ultrafilters on $\mathbb{R}$. Archive classification: math.FA Mathematics Subject Classification: 46E30 (52B45) Remarks: 23 pages, 2 figures Submitted from: cava(a)ims.is.tohoku.ac.jp The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1505.00089 or http://arXiv.org/abs/1505.00089

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Abstract of a paper by Tony K. Nogueira and Daniel Pellegrino
by alspach＠math.okstate.edu 18 May '15

18 May '15

This is an announcement for the paper "On the size of certain subsets of invariant Banach sequence spaces" by Tony K. Nogueira and Daniel Pellegrino. Abstract: In this note we improve some recent results of G. Botelho and V. F\'{a}varo on invariant Banach sequence spaces. Our main result shows that, under very weak assumptions, more general versions of some subsets of invariant sequence spaces investigated by G. Botelho and V. F\'{a}varo in 2014 contain, up to the null vector, a closed infinite-dimensional subspace . Archive classification: math.FA Submitted from: pellegrino(a)pq.cnpq.br The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1504.08238 or http://arXiv.org/abs/1504.08238

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Abstract of a paper by Spiros A. Argyros, Ioannis Gasparis and Pavlos Motakis
by alspach＠math.okstate.edu 18 May '15

18 May '15

This is an announcement for the paper "On the structure of separable $\mathcal{L}_\infty$-spaces" by Spiros A. Argyros, Ioannis Gasparis and Pavlos Motakis. Abstract: Based on a construction method introduced by J. Bourgain and F. Delbaen, we give a general definition of a Bourgain-Delbaen space and prove that every infinite dimensional separable $\mathcal{L}_\infty$-space is isomorphic to such a space. Furthermore, we provide an example of a $\mathcal{L}_\infty$ and asymptotic $c_0$ space not containing $c_0$. Archive classification: math.FA Mathematics Subject Classification: 46B03, 46B06, 46B07 Remarks: 15 pages 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/1504.08223 or http://arXiv.org/abs/1504.08223

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Abstract of a paper by Liang Hong
by alspach＠math.okstate.edu 18 May '15

18 May '15

This is an announcement for the paper "On the relationship between order bounded operators, topologically bounded operators and topologically continuous operators" by Liang Hong. Abstract: The relationship between order bounded operators and order continuous operators has been investigated by several authors. The purpose of this paper is to study the relationship between order bounded operators, topologically bounded operators and topologically continuous operators. We give conditions for (i) the space of topologically continuous operators to be an ideal of the space of order bounded operators; this result generalizes the Nakano-Roberts Theorem; (ii) the space of topologically continuous operators to be a band of the space of order bounded operators; (iii) the space of order bounded operators to coincide with the space of topologically bounded operators; (iv) the space of order bounded operators to coincide with the space of topologically continuous operators. In addition, a set of counterexamples are given for illustration purpose; these counterexamples are interesting in their own rights and contribute to the literature. Archive classification: math.FA Mathematics Subject Classification: Primary 47B60, 47B65, Secondary 46A40, 06B30, 06F30 Submitted from: hong(a)rmu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1504.08016 or http://arXiv.org/abs/1504.08016

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