Banach December 2004

banach@mathdept.okstate.edu

2 participants
4 discussions

Abstract of a paper by Ioannis Gasparis
by Dale Alspach 22 Dec '04

22 Dec '04

This is an announcement for the paper "Operators on $C[0,1]$ preserving copies of asymptotic $\ell_1$ spaces" by Ioannis Gasparis. Abstract: It is shown that every operator on $C[0,1]$ which preserves a copy of an asymptotic $\ell_1$ space, also preserves a copy of $C[0,1]$. Archive classification: Functional Analysis Mathematics Subject Classification: 46B03 The source file(s), asymp.tex: 73653 bytes, is(are) stored in gzipped form as 0412426.gz with size 20kb. The corresponding postcript file has gzipped size 100kb. Submitted from: ioagaspa(a)math.auth.gr The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0412426 or http://arXiv.org/abs/math.FA/0412426 or by email in unzipped form by transmitting an empty message with subject line uget 0412426 or in gzipped form by using subject line get 0412426 to: math(a)arXiv.org.

1 0

Abstract of a paper by N.J.Kalton, A.Koldobsky, V.Yaskin and M.Yaskina
by Dale Alspach 21 Dec '04

21 Dec '04

This is an announcement for the paper "The geometry of $L_0$" by N.J.Kalton, A.Koldobsky, V.Yaskin and M.Yaskina. Abstract: Suppose that we have the unit Euclidean ball in $\R^n$ and construct new bodies using three operations - linear transformations, closure in the radial metric and multiplicative summation defined by $\|x\|_{K+_0L} = \sqrt{\|x\|_K\|x\|_L}.$ We prove that in dimension 3 this procedure gives all origin symmetric convex bodies, while this is no longer true in dimensions 4 and higher. We introduce the concept of embedding of a normed space in $L_0$ that naturally extends the corresponding properties of $L_p$-spaces with $p\ne0$, and show that the procedure described above gives exactly the unit balls of subspaces of $L_0$ in every dimension. We provide Fourier analytic and geometric characterizations of spaces embedding in $L_0$, and prove several facts confirming the place of $L_0$ in the scale of $L_p$-spaces. Archive classification: Functional Analysis; Metric Geometry Mathematics Subject Classification: 46B20, 52Axx Remarks: 21 pages The source file(s), lzero.tex: 51885 bytes, is(are) stored in gzipped form as 0412371.gz with size 15kb. The corresponding postcript file has gzipped size 80kb. Submitted from: yaskinv(a)math.missouri.edu The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0412371 or http://arXiv.org/abs/math.FA/0412371 or by email in unzipped form by transmitting an empty message with subject line uget 0412371 or in gzipped form by using subject line get 0412371 to: math(a)arXiv.org.

1 0

Summer School and Conference
by Dale Alspach 15 Dec '04

15 Dec '04

This is a preliminary announcement about two (separate) events that will take place at the Hebrew University in June 2005. The Institute of Advanced Studies (IAS) of the Hebrew University organizes a conference titled "Contemporary Ramifications of Banach Space Theory" in honour of Joram Lindenstrauss and Lior Tzafriri on the occasion of their retirement. The conference will be held June 19-24, 2005 at the Hebrew University of Jerusalem.The purpose of the conference is to give a survey of many fields that Joram and Lior have made an impact on. Immediately preceeding the conference, on June 14-19, the IAS will organize a summer school (midrasha) devoted to "Connections between probability and geometric functional analysis". The midrasha should be accessible to broader audience, including graduate students in functional analysis. The speakers at the midrasha will be: N.Alon (Tel Aviv) B.Bollobas (Memphis), N.Kalton (Missouri), R.Latala (Warsaw), M.Ledoux (Tulouse), A.Naor (Microsoft), K.Oleszkiewicz (Warsaw), M.Rudelson (Missouri), S.Szarek (Paris), M.Talagrand (Paris). Additional information about these two events can be obtained from Mrs.Pnina Feldman (IAS), e-mail: advanc(a)vms.huji.ac.il or from us, e-mail: bsconf(a)math.huji.ac.il Tomek Szankowski and Morry Zippin, for the organizing committee: Jonathan Arazy(Haifa Univ.) Yoav Benyamini (Technion) Vladimir Fonf (Ben Gurion Univ.) Yoram Gordon (Technion) Vitali Milman (Tel Aviv U.) Gideon Schechtman (Weizmann Institute)

1 0

Abstract of a paper by Miguel Martin
by Dale Alspach 01 Dec '04

01 Dec '04

This is an announcement for the paper "The alternative Daugavet property of $C^*$-algebras and $JB^*$-triples" by Miguel Martin. Abstract: A Banach space $X$ is said to have the alternative Daugavet property if for every (bounded and linear) rank-one operator $T:X\longrightarrow X$ there exists a modulus one scalar $\omega$ such that $\|Id + \omega T\|= 1 + \|T\|$. We give geometric characterizations of this property in the setting of $C^*$-algebras, $JB^*$-triples and their isometric preduals. Archive classification: Functional Analysis; Operator Algebras Mathematics Subject Classification: 46B20, 46L05, 17C65 (primary); 47A12 (secondary) The source file(s), Martin-ADP.tex: 44541 bytes, is(are) stored in gzipped form as 0411555.gz with size 14kb. The corresponding postcript file has gzipped size 69kb. Submitted from: mmartins(a)ugr.es The paper may be downloaded from the archive by web browser from URL http://front.math.ucdavis.edu/math.FA/0411555 or http://arXiv.org/abs/math.FA/0411555 or by email in unzipped form by transmitting an empty message with subject line uget 0411555 or in gzipped form by using subject line get 0411555 to: math(a)arXiv.org.

1 0

2024

2023

2022

2021

2020

2019

2018

2017

2016

2015

2014

2013

2012

2011

2010

2009

2008

2007

2006

2005

2004

Banach December 2004