[Banach] Abstract of a paper by Shiri Artstein, Vitali D. Milman and Yaron Ostrover

Dale Alspach alspach at www.math.okstate.edu
Fri Apr 21 13:12:58 CDT 2006


This is an announcement for the paper "The M-ellipsoid, symplectic
capacities and volume" by Shiri Artstein, Vitali D. Milman and Yaron
Ostrover.


Abstract: In this work we bring together tools and ideology from
two different fields, Symplectic Geometry and Asymptotic Geometric
Analysis, to arrive at some new results. Our main result is a
dimension-independent bound for the symplectic capacity of a convex
body by its volume radius.

Archive classification: Symplectic Geometry; Functional Analysis

Mathematics Subject Classification: 53D05; 53C15; 46B07; 52A20;
46B20

The source file(s), CapMil2006Apr19.tex: 34307 bytes, is(are) stored
in gzipped form as 0604434.gz with size 12kb. The corresponding
postcript file has gzipped size 61kb.

Submitted from: artstein at math.princeton.edu

The paper may be downloaded from the archive by web browser from
URL

 http://front.math.ucdavis.edu/math.SG/0604434

 or

 http://arXiv.org/abs/math.SG/0604434

or by email in unzipped form by transmitting an empty message with
subject line

	 uget 0604434


or in gzipped form by using subject line

	 get 0604434

 to: math at arXiv.org.



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