Asymptotic theory of finite dimensional normed spaces / Vitali D. Milman, Gideon Schechtman / With an appendix, Isoperimetric inequalities in Riemannian manifolds / by M. Gromov

Auteur: Milman, Vitali Davidovich (1939-) - AuteurCo-auteur: Schechtman, Gideon (1947-) - Auteur ; Gromov, Mikhail (1943-) - AuteurType de document: MonographieCollection: Lecture notes in mathematics ; 1200Langue: anglaisPays: AllemagneÉditeur: Berlin : Springer-Verlag, 1986Description: 1 vol. (V-156 p.) ; 24 cm ISBN: 3540167692 ; br. ISSN: 0075-8434Résumé: This book deals with the geometrical structure of finite dimensional normed spaces as the dimension grows to infinity. This is a part of what came to be known as the local theory of Banach spaces. The purpose of this book is to introduce the reader to some of the results, problems and mainly methods developed in the local theory. The contents of the book. Introduction. Part I: The concentration of measure phenomenon in the theory of normed spaces. Part II: Type and cotype of normed spaces ... (Zentralblatt).Bibliographie: Bibliogr. p. [151]-156. Index. Sujets MSC: 46B25 Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Classical Banach spaces in the general theory
46-02 Functional analysis -- Research exposition (monographs, survey articles)
46B20 Functional analysis -- Normed linear spaces and Banach spaces; Banach lattices -- Geometry and structure of normed linear spaces
28C20 Measure and integration -- Set functions and measures on spaces with additional structure -- Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.)
En-ligne: Springerlink | Zentralblatt | MathSciNet
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Bibliogr. p. [151]-156. Index

This book deals with the geometrical structure of finite dimensional normed spaces as the dimension grows to infinity. This is a part of what came to be known as the local theory of Banach spaces. The purpose of this book is to introduce the reader to some of the results, problems and mainly methods developed in the local theory. The contents of the book. Introduction. Part I: The concentration of measure phenomenon in the theory of normed spaces. Part II: Type and cotype of normed spaces ... (Zentralblatt)

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