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Asymptotic Theory of Finite Dimensional Normed Spaces : Isoperimetric Inequalities in Riemannian Manifolds :  Isoperimetric Inequalities in Riemannian Manifolds - Vitali D. Milman

Asymptotic Theory of Finite Dimensional Normed Spaces : Isoperimetric Inequalities in Riemannian Manifolds

Isoperimetric Inequalities in Riemannian Manifolds

Paperback Published: July 1986
ISBN: 9783540167693
Number Of Pages: 160

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Part I: The concentration of measure phenomenon in the theory of normed spaces. Preliminaries; The isoperimetric inequality on S^(n-1) and some consequences; Finite dimensional normed spaces; Almost euclidean subspaces of a normed space; Almost euclidian subspaces of l_p^n spaces of general n-dimensional normed spaces and of quotient of n-dimensional spaces; Levy families; Martingales; Embedding l_p^m into l_1^n; Type and cotype of normed spaces, and some simple relations with geometrical properties; Additional applications of Levy families in the theory of finite dimensional normed spaces. Part II: Type and cotype of normed spaces. Ramsey's theorem with some applications to normed spaces; Krivine's theorem; The Maurey-Pisier theorem; The Rademacher projection; Projections on random euclidean subspaces of finite dimensional normed spaces. Appendices:

The concentration of measure phenomenon in the theory of normed spaces
Preliminaries; The isoperimetric inequality on S^(n-1) and some consequences; Finite dimensional normed spaces; Almost euclidean subspaces of a normed space; Almost euclidian subspaces of l_p^n spaces of general n-dimensional normed spaces and of quotient of n-dimensional spaces; Levy families; Martingales; Embedding l_p^m into l_1^n; Type and cotype of normed spaces, and some simple relations with geometrical properties; Additional applications of Levy families in the theory of finite dimensional normed spaces
Type and cotype of normed spaces
Ramsey's theorem with some applications to normed spaces; Krivine's theorem; The Maurey-Pisier theorem; The Rademacher projection; Projections on random euclidean subspaces of finite dimensional normed spaces
Appendices:
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9783540167693
ISBN-10: 3540167692
Series: Lecture Notes in Mathematics
Audience: General
Format: Paperback
Language: English
Number Of Pages: 160
Published: July 1986
Publisher: Springer-Verlag Berlin and Heidelberg Gmbh & Co. Kg
Country of Publication: DE
Dimensions (cm): 23.39 x 15.6  x 0.94
Weight (kg): 0.25
Edition Number: 2