Asymptotic theory of finite dimensional normed spaces /

Vol. 1200 of the LNM series deals with the geometrical structure of finite dimensional normed spaces. One of the main topics is the estimation of the dimensions of euclidean and l^n p spaces which nicely embed into diverse finite-dimensional normed spaces. An essential method here is the concentrati...

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Bibliographic Details
Main Author:	Milman, Vitali D., 1939-
Corporate Author:	SpringerLink (Online service)
Other Authors:	Schechtman, Gideon, 1947-
Format:	eBook
Language:	English
Published:	Berlin ; New York : Springer-Verlag, 1986.
Series:	Lecture notes in mathematics (Springer-Verlag) ; 1200.
Subjects:	Normed linear spaces. Convex sets. Limit theorems (Probability theory) Espaces linéaires normés. Ensembles convexes. Théorèmes limites (Théorie des probabilités) Théorèmes des limites (théorie des probabilités) Asymptotik. Normierter Raum. Electronic books.
Online Access:	Connect to the full text of this electronic book

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Summary:	Vol. 1200 of the LNM series deals with the geometrical structure of finite dimensional normed spaces. One of the main topics is the estimation of the dimensions of euclidean and l^n p spaces which nicely embed into diverse finite-dimensional normed spaces. An essential method here is the concentration of measure phenomenon which is closely related to large deviation inequalities in Probability on the one hand, and to isoperimetric inequalities in Geometry on the other. The book contains also an appendix, written by M. Gromov, which is an introduction to isoperimetric inequalities on riemannian manifolds. Only basic knowledge of Functional Analysis and Probability is expected of the reader. The book can be used (and was used by the authors) as a text for a first or second graduate course. The methods used here have been useful also in areas other than Functional Analysis (notably, Combinatorics).
Item Description:	Electronic resource.
Physical Description:	1 online resource (viii, 156 pages) : illustrations.
Format:	Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:	Includes bibliographical references (pages [151]-156) and index.
ISBN:	9783540388227 (electronic bk.) 3540388222 (electronic bk.)
ISSN:	0075-8434 ;