January 2014 - 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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Conference Announcement
by Krzysztof Jarosz 25 Jan '14

25 Jan '14

7th Conference on Function Spaces will take place at the SIUE campus between May 20 and May 24, 2014: http://www.siue.edu/MATH/conference2014/ We received an NSF grant to defer travel and local cost primarily for the participants without other sources of funding. Krzysztof Jarosz Department of Mathematics and Statistics Southern Illinois University Edwardsville Edwardsville, IL 62026-1653, USA tel.: (618) 650-2354 fax: (618) 650-3771 e-mail: kjarosz(a)siue.edu http://www.siue.edu/~kjarosz/

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Integration, Vector Measures and Related Topics VI
by Grzegorz Plebanek 24 Jan '14

24 Jan '14

2nd announcement on the conference *** Integration, Vector Measures and Related Topics VI *** June 15 - 21, 2014 *** the Mathematical Research and Conference Center in Bedlewo (near Poznan, Poland), Registration and more information on the conference webpage: http://www.math.uni.wroc.pl/~drygier/ivmrt2014/ Invited speakers: Antonio Aviles (Murcia), Erik J. Balder (Utrecht), Oscar Blasco (Valencia) Guillermo Curbera (Sevilla), Luisa Di Piazza (Palermo), Harold Garth Dales (Lancaster) Joe Diestel (Kent), Christian Hess (Paris), Marian Fabian (Prague), David H. Fremlin (Colchester) Ondrej Kalenda (Prague), Zbigniew Lipecki (Wrocław), Jose Rodriguez (Murcia) The organizing committee: M. Balcerzak, M. Cichon, K. Musial, G. Plebanek

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Universality Meeting, Kent State University, April 11 - 13, 2014
by Dale Alspach 23 Jan '14

23 Jan '14

Announcing an Informal Analysis Seminar focusing on Universality Friday afternoon, April 11, 2014 through early Sunday afternoon, April 13, 2014 This meeting has received generous funding from Elsevier, with additional support from Kent State University. This meeting should be especially attractive to non-specialists, and in particular to students and new PhD's. The reason is that the Friday afternoon session is being devoted to three expository talks, aimed at a non- specialist audience, on Universality by three excellent speakers: Paul Gauthier (Montreal), Pamela Gorkin (Bucknell), and Vassili Nestoridis (Athens). Our speakers on Saturday and Sunday will be Juan Bès, Kit Chan, Paul Gauthier, Pamela Gorkin, Manuel Maestre, Myrto Manolaki, Vassili Nestoridis, and Rebecca Sanders. Also, there is a reasonable possibility of (very) partial support for students and junior participants. Registration is free, but we ask intending participants to let us know of their interest. For further information, please consult: http://www.math.kent.edu/~zvavitch/informal/Informal_Analysis_Seminar/April… and/or contact Richard Aron at aron(a)math.kent.edu .

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Abstract of a paper by Ian Doust, Stephen Sanchez and Anthony Weston
by alspach＠math.okstate.edu 17 Jan '14

17 Jan '14

This is an announcement for the paper "The generalized roundness of $\ell_\infty^{(3)}$ revisited" by Ian Doust, Stephen Sanchez and Anthony Weston. Abstract: Metric spaces of generalized roundness zero have interesting non-embedding properties. For instance, we note that no metric space of generalized roundness zero is isometric to any metric subspace of any $L_{p}$-space for which $0 < p \leq 2$. Lennard, Tonge and Weston gave an indirect proof that $\ell_{\infty}^{(3)}$ has generalized roundness zero by appealing to highly non-trivial isometric embedding theorems of Bretagnolle Dacunha-Castelle and Krivine, and Misiewicz. In this paper we give a direct proof that $\ell_{\infty}^{(3)}$ has generalized roundness zero. This provides insight into the combinatorial geometry of $\ell_{\infty}^{(3)}$ that causes the generalized roundness inequalities to fail. We complete the paper by noting a characterization of real quasi-normed spaces of generalized roundness zero. Archive classification: math.FA Mathematics Subject Classification: 46B20 Remarks: 8 pages Submitted from: i.doust(a)unsw.edu.au The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.4095 or http://arXiv.org/abs/1401.4095

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Abstract of a paper by Rainis Haller and Johann Langemets
by alspach＠math.okstate.edu 17 Jan '14

17 Jan '14

This is an announcement for the paper "Geometry of Banach spaces with an octahedral norm" by Rainis Haller and Johann Langemets. Abstract: We discuss the geometry of Banach spaces whose norm is octahedral or, more generally, locally or weakly octahedral. Our main results characterize these spaces in terms of covering of the unit ball. Archive classification: math.FA Mathematics Subject Classification: 46B20, 46B22 Submitted from: johann.langemets(a)ut.ee The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.3612 or http://arXiv.org/abs/1401.3612

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Abstract of a paper by Tim de Laat and Mikael de la Salle
by alspach＠math.okstate.edu 17 Jan '14

17 Jan '14

This is an announcement for the paper "Strong property (T) for higher rank simple Lie groups" by Tim de Laat and Mikael de la Salle. Abstract: We prove that connected higher rank simple Lie groups have Lafforgue's strong property (T) with respect to a certain class of Banach spaces $\mathcal{E}_{10}$ containing many classical superreflexive spaces and some non-reflexive spaces as well. This generalizes the result of Lafforgue asserting that $\mathrm{SL}(3,\mathbb{R})$ has strong property (T) with respect to Hilbert spaces and the more recent result of the second named author asserting that $\mathrm{SL}(3,\mathbb{R})$ has strong property (T) with respect to a certain larger class of Banach spaces. For the generalization to higher rank groups, it is sufficient to prove strong property (T) for $\mathrm{Sp}(2,\mathbb{R})$ and its universal covering group. As consequences of our main result, it follows that for $X \in \mathcal{E}_{10}$, connected higher rank simple Lie groups and their lattices have property (F$_X$) of Bader, Furman, Gelander and Monod, and the expanders contructed from a lattice in such a group do not admit a coarse embedding into $X$. Archive classification: math.GR math.FA math.MG Report Number: CPH-SYM-DNRF92 Remarks: 30 pages, 1 figure Submitted from: tim.delaat(a)wis.kuleuven.be The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.3611 or http://arXiv.org/abs/1401.3611

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Abstract of a paper by Dusan Repovs and Pavel V. Semenov
by alspach＠math.okstate.edu 17 Jan '14

17 Jan '14

This is an announcement for the paper "Continuous selections of multivalued mappings" by Dusan Repovs and Pavel V. Semenov. Abstract: This survey covers in our opinion the most important results in the theory of continuous selections of multivalued mappings (approximately) from 2002 through 2012. It extends and continues our previous such survey which appeared in Recent Progress in General Topology, II, which was published in 2002. In comparison, our present survey considers more restricted and specific areas of mathematics. Note that we do not consider the theory of selectors (i.e. continuous choices of elements from subsets of topological spaces) since this topics is covered by another survey in this volume. Archive classification: math.GN math.FA math.GT math.OC Mathematics Subject Classification: 54C60, 54C65, 28B20, 26E25, 49J53, 58C06 Citation: Recent Progress in General Topology III, (K. P. Hart, Jan van The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.2257 or http://arXiv.org/abs/1401.2257

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Abstract of a paper by Andrzej Wisnicki
by alspach＠math.okstate.edu 17 Jan '14

17 Jan '14

This is an announcement for the paper "Hyper-extensions in metric fixed point theory" by Andrzej Wisnicki. Abstract: We apply a modern axiomatic system of nonstandard analysis in metric fixed point theory. In particular, we formulate a nonstandard iteration scheme for nonexpansive mappings and present a nonstandard approach to fixed-point problems in direct sums of Banach spaces. Archive classification: math.FA math.LO Remarks: 12 pages Submitted from: awisnic(a)hektor.umcs.lublin.pl The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.2144 or http://arXiv.org/abs/1401.2144

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Abstract of a paper by Dale E. Alspach and Eloi Medina Galego
by alspach＠math.okstate.edu 17 Jan '14

17 Jan '14

This is an announcement for the paper "A complete classification of the spaces of compact operators on C([1,alpha], l_p) spaces, 1<p< infinity" by Dale E. Alspach and Eloi Medina Galego. Abstract: We complete the classification, up to isomorphism, of the spaces of compact operators on C([1, gamma], l_p) spaces, 1<p< infinity. In order to do this, we classify, up to isomorphism, the spaces of compact operators {\mathcal K}(E, F), where E= C([1, lambda], l_p) and F=C([1,xi], l_q) for arbitrary ordinals lambda and xi and 1< p \leq q< infinity. More precisely, we prove that it is relatively consistent with ZFC that for any infinite ordinals lambda, mu, xi and eta the following statements are equivalent: (a) {\mathcal K}(C([1, lambda], l_p), C([1, xi], l_q)) is isomorphic to {\mathcal K}(C([1, mu], l_p), C([1, eta], l_q)) . (b) lambda and mu have the same cardinality and C([1,xi]) is isomorphic to C([1, eta]) or there exists an uncountable regular ordinal alpha and 1 \leq m, n < omega such that C([1, xi]) is isomorphic to C([1, alpha m]) and C([1,eta]) is isomorphic to C([1, alpha n]). Moreover, in ZFC, if lambda and mu are finite ordinals and xi and eta are infinite ordinals then the statements (a) and (b') are equivalent. (b') C([1,xi]) is isomorphic to C([1, eta]) or there exists an uncountable regular ordinal alpha and 1 \leq m, n \leq omega such that C([1, xi]) is isomorphic to C([1, alpha m]) and C([1,eta]) is isomorphic to C([1, alpha n]). Archive classification: math.FA Mathematics Subject Classification: 46B03 (primary) 46B25 (secondary) Remarks: Revised version will appear in Proc. AMS Submitted from: alspach(a)math.okstate.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/1401.1857 or http://arXiv.org/abs/1401.1857

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