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Asymptotic Theory of Finite Dimensional Normed Spaces

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Cover of 'Asymptotic Theory of Finite Dimensional Normed Spaces'

Table of Contents

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    Book Overview
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    Chapter 1 Preliminaries
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    Chapter 2 The Isoperimetric Inequality on S n −1 and Some Consequences
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    Chapter 3 Finite Dimensional Normed Spaces, Preliminaries
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    Chapter 4 Almost Euclidean Subspaces of A Normed Space
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    Chapter 5 Almost Euclidean Subspaces of ℓ {p} n Spaces, of General n -Dimensional Normed Spaces, and of Quotient of n -Dimensional Spaces
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    Chapter 6 Levy Families
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    Chapter 7 Martingales
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    Chapter 8 Embedding ℓ p m into ℓ 1 n
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    Chapter 9 Type and Cotype of Normed Spaces, and Some Simple Relations with Geometrical Properties
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    Chapter 10 Additional Applications of Levy Families in the Theory of Finite Dimensional Normed Spaces
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    Chapter 11 Ramsey’s Theorem with Some Applications to Normed Spaces
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    Chapter 12 Krivine’s Theorem
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    Chapter 13 The Maurey-Pisier Theorem
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    Chapter 14 The Rademacher Projection
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    Chapter 15 Projections on Random Euclidean Subspaces of Finite Dimensional Normed Spaces
Attention for Chapter 5: Almost Euclidean Subspaces of ℓ {p} n Spaces, of General n -Dimensional Normed Spaces, and of Quotient of n -Dimensional Spaces
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