The Volume of Convex Bodies and Banach Space Geometry

By:

Gilles Pisier

Format:

Paperback / softback

Series:

Cambridge Tracts in Mathematics

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Description

Now in paperback, this book aims to give a self-contained presentation of a number of recent results, which relate the volume of convex bodies in n-dimensional Euclidean space and the geometry of the corresponding finite-dimensional normed spaces. The methods employ classical ideas from the theory of convex sets, probability theory, approximation theory and the local theory of Banach spaces. The book is in two parts. The first presents self-contained proofs of the quotient of the subspace theorem, the inverse Santalo inequality and the inverse Brunn-Minkowski inequality. The second part gives a detailed exposition of the recently introduced classes of Banach spaces of weak cotype 2 or weak type 2, and the intersection of the classes (weak Hilbert space). The book is based on courses given in Paris and in Texas.

Release date Australia

May 27th, 1999

Author

Gilles Pisier

Audience

Professional & Vocational

Pages

268

Series

Cambridge Tracts in Mathematics

Dimensions

153x228x16

ISBN-13

9780521666350

Product ID

1979271

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