November 2004 - Banach - mathdept.okstate.edu

Announcement: V Conference on Function Spaces
by Krzysztof Jarosz 23 Nov '04

23 Nov '04

Conference Announcement: "Function Spaces V" May 14-19, 2006, Southern Illinois University Edwardsville Topics: Function algebras, Banach algebras, spaces and algebras of analytic functions, Lp spaces, geometry of Banach spaces, isometries of function spaces, and related problems. For more information including funding, principal speakers, registration, travel & housing, and local information please check: http://www.siue.edu/MATH/conference2006/ Or contact: Krzysztof Jarosz Department of Mathematics & Statistics SIUE Edwardsville, Illinois 62026-1653, USA kjarosz(a)siue.edu

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Winter School, Toulouse 2005
by Dale Alspach 19 Nov '04

19 Nov '04

Second Announcement of the Winter School on PROBABILISTIC METHODS IN HIGH DIMENSION PHENOMENA Toulouse, January 10-14, 2005 The school will provide young as well as expert scientists with the recent probabilistic tools developed for the investigation of high-dimensional systems. It is part of the European Network "Phenomena in High Dimension". It will be composed of the following five courses: I.Benjamini (Rehovot) ``Random walks and Percolation on graphs'' C.Borell (Goteborg) ``Minkowski sums in Gaussian analysis'' K.Johansson (Stockholm) ``Determinantal Processes in Random Matrix Theory'' G.Lugosi (Barcelona) ``Concentration of Functions of Independent Random Variables'' R.Schneider (Freiburg) ``Convexity in Stochastic Geometry'' It is now time for participants: * to registrate: we had some technical problems with the online registration engine. So we ask you to registrate (to REGISTRATE AGAIN if you already did it through the online form) by sending an email to our secretary Mrs Michel michel(a)lsp.ups-tlse.fr, specifying your NAME, your AFFILIATION, ADDRESS and DATES of attendance. * and to prepare their travel and accomodation plans: The expenses of the members of the PHD network are supported by their nodes (but it is likely that universities have to pay in advance and the RTN will reimburse when it is operating). We hope that we will have some money left to partially cover the expenses of participants not belonging to the network. Priority will be given to PHD Students and Post-Docs. If you need such support, please mention it in the registration email to Mrs Michel. More information is available on the conference Webpage http://www.lsp.ups-tlse.fr/Proba_Winter_School/ It has been updated and contains new pieces of information about * abstracts of the courses * accomodation: The list of hotels has been completed. Economical options have been added. In particular we have made a temporary reservation for a very limited number of rooms on the campus for 22 Euros per night. These rooms can be booked by sending an email to Mrs Michel (michel(a)lesp.ups-tlse.fr) Sincerely, F. Barthe M. Ledoux - ------------------------------------------------------------------------------ Institut de Mathematiques - Universite Paul Sabatier - Toulouse III 118 route de Narbonne - 31062 Toulouse Cedex 4 - FRANCE. __________________________________________________________________________ Michel Ledoux ledoux(a)math.ups-tlse.fr Institut de Mathematiques Tel : (+33) 561 55 85 74 Universite de Toulouse Fax : (+33) 561 55 60 89 F-31062 Toulouse, France http://www.lsp.ups-tlse.fr/Ledoux/

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Abstract of a paper by N. L. Randrianarivony
by Dale Alspach 12 Nov '04

12 Nov '04

This is an announcement for the paper "Characterization of quasi-Banach spaces which coarsely embed into a Hilbert space" by N. L. Randrianarivony. Abstract: A map f between two metric spaces (X,d_1) and (Y,d_2) is called a coarse embedding of X into Y if there exist two nondecreasing functions phi_1, phi_2:[0,\infty) --> [0,\infty) such that: phi_1(d_1(x,y)) \leq d_2(f(x),f(y)) \leq phi_2(d_1(x,y)) for all x, y in X, and phi_1(t) tends to \infty as t tends to \infty. We characterize those quasi-Banach spaces that have a coarse embedding into a Hilbert space. Archive classification: Functional Analysis; Metric Geometry Remarks: 3 pages The source file(s), LovaGenAMM.4.tex: 6257 bytes, is(are) stored in gzipped form as 0411269.gz with size 3kb. The corresponding postcript file has gzipped size 25kb. Submitted from: nirina(a)math.tamu.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0411269 or http://arXiv.org/abs/math.FA/0411269 or by email in unzipped form by transmitting an empty message with subject line uget 0411269 or in gzipped form by using subject line get 0411269 to: math(a)arXiv.org.

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Abstract of a paper by Guoliang Yu
by Dale Alspach 12 Nov '04

12 Nov '04

This is an announcement for the paper "Hyperbolic groups admit proper affine isometric actions on $l^p$-spaces" by Guoliang Yu. Abstract: In this paper, we show that hyperbolic groups admit proper affine isometric actions on $l^p$-spaces. Archive classification: Group Theory; Operator Algebras Remarks: 10 pages (to appear in GAFA) The source file(s), hyplp.tex: 17579 bytes, is(are) stored in gzipped form as 0411234.gz with size 6kb. The corresponding postcript file has gzipped size 37kb. Submitted from: gyu(a)math.vanderbilt.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.GR/0411234 or http://arXiv.org/abs/math.GR/0411234 or by email in unzipped form by transmitting an empty message with subject line uget 0411234 or in gzipped form by using subject line get 0411234 to: math(a)arXiv.org.

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Abstract of a paper by Michael Megrelishvili
by Dale Alspach 08 Nov '04

08 Nov '04

This is an announcement for the paper "Fragmentability and representations of flows" by Michael Megrelishvili. Abstract: Our aim is to study weak star continuous representations of semigroup actions into the duals of ``good'' (e.g., reflexive and Asplund) Banach spaces. This approach leads to flow analogs of Eberlein and Radon-Nikodym compacta and a new class of functions (Asplund functions) which intimately is connected with Asplund representations and includes the class of weakly almost periodic functions. We show that a flow is weakly almost periodic iff it admits sufficiently many reflexive representations. One of the main technical tools in this paper is the concept of fragmentability (which actually comes from Namioka and Phelps) and widespreadly used in topological aspects of Banach space theory. We explore fragmentability as ``a generalized equicontinuity'' of flows. This unified approach allows us to obtain several dynamical applications. We generalize and strengthen some results of Akin-Auslander-Berg, Shtern, Veech-Troallic-Auslander and Hansel-Troallic. We establish that frequently, for linear G-actions, weak and strong topologies coincide on, not necessarily closed, G-minimal subsets. For instance such actions are ``orbitwise Kadec``. Archive classification: Functional Analysis; General Topology Mathematics Subject Classification: 54H15; 43A60 Citation: Topology Proceedings, 27:2, 2003, 497-544 Remarks: 30 pages The source file(s), RN.tex: 154972 bytes, diagrams.tex: 116119 bytes, is(are) stored in gzipped form as 0411112.tar.gz with size 82kb. The corresponding postcript file has gzipped size 129kb. Submitted from: megereli(a)math.biu.ac.il The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0411112 or http://arXiv.org/abs/math.FA/0411112 or by email in unzipped form by transmitting an empty message with subject line uget 0411112 or in gzipped form by using subject line get 0411112 to: math(a)arXiv.org.

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Abstract of a paper by Ravi Montenegro
by Dale Alspach 05 Nov '04

05 Nov '04

This is an announcement for the paper "A sharp isoperimetric bound for convex bodies" by Ravi Montenegro. Abstract: We consider the problem of lower bounding a generalized Minkowski measure of subsets of a convex body with a log-concave probability measure, conditioned on the set size. A bound is given in terms of diameter and set size, which is sharp for all set sizes, dimensions, and norms. In the case of uniform density a stronger theorem is shown which is also sharp. Archive classification: Functional Analysis; Metric Geometry; Probability Mathematics Subject Classification: 52A40 The source file(s), iso.bbl: 1295 bytes, iso.tex: 41335 bytes, is(are) stored in gzipped form as 0411018.tar.gz with size 14kb. The corresponding postcript file has gzipped size 52kb. Submitted from: monteneg(a)yahoo.com The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0411018 or http://arXiv.org/abs/math.FA/0411018 or by email in unzipped form by transmitting an empty message with subject line uget 0411018 or in gzipped form by using subject line get 0411018 to: math(a)arXiv.org.

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Abstract of a paper by S. A. Argyros, J. Lopez-Abad and S. Todorcevic
by Dale Alspach 05 Nov '04

05 Nov '04

This is an announcement for the paper "A class of Banach spaces with few non strictly singular operators" by S. A. Argyros, J. Lopez-Abad and S. Todorcevic. Abstract: We construct a family $(\mathcal{X}_\al)_{\al\le \omega_1}$ of reflexive Banach spaces with long transfinite bases but with no unconditional basic sequences. In our spaces $\mathcal{X}_\al$ every bounded operator $T$ is split into its diagonal part $D_T$ and its strictly singular part $S_T$. Archive classification: Functional Analysis; Logic Mathematics Subject Classification: 46B20; 03E05 Remarks: 52 pages, 1 figure The source file(s), om1hi.tex: 254359 bytes, om1hi1.eps: 181035 bytes, is(are) stored in gzipped form as 0312522.tar.gz with size 117kb. The corresponding postcript file has gzipped size 333kb. Submitted from: jlopez(a)crm.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0312522 or http://arXiv.org/abs/math.FA/0312522 or by email in unzipped form by transmitting an empty message with subject line uget 0312522 or in gzipped form by using subject line get 0312522 to: math(a)arXiv.org.

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Chair in Mathematics (Analysis)
by Dale Alspach 03 Nov '04

03 Nov '04

CHAIR IN PURE MATHEMATICS AT LANCASTER UNIVERSITY Broad field: Pure Mathematics Duration: Indefinite Position: Professor Institution: Department of Mathematics and Statistics, Lancaster University Starting date: 1.4.05 (or preferably before 1.9.05) Area(s) preferred: Analysis Contact person(s): Professor S.C. Power, s.power(a)lancaster.ac.uk Application deadline: 7.1.05 Other comments: Job reference number A374 Full details: Personnel Services, Lancaster University Telephone: (01524) 846549 WWW: http://www.personnel.lancs.ac.uk/vacancydets.aspx?jobid=A374

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