THE VOLUME OF CONVEX BODIES AND BANACH SPACE GEOMETRY by Gilles Pisier ( 9780521666350 )

Item Details

Title:

THE VOLUME OF CONVEX BODIES AND BANACH SPACE GEOMETRY

By:

Gilles Pisier

Format:

Paperback

List price:

£53.99

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£47.24

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£6.75

ISBN 10:

052166635X

ISBN 13:

9780521666350

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

27 May, 1999

Series:

Cambridge Tracts in Mathematics 94

Pages:

268

Description:

A self-contained presentation of results relating the volume of convex bodies and Banach space geometry.

Synopsis:

This book aims to give a self-contained presentation of a number of 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.

Illustrations:

bibliography, index

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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