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Item Details
Title:
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THE VOLUME OF CONVEX BODIES AND BANACH SPACE GEOMETRY
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By: |
Gilles Pisier |
Format: |
Electronic book text |
List price:
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£85.00 |
We currently do not stock this item, please contact the publisher directly for
further information.
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ISBN 10: |
0511662459 |
ISBN 13: |
9780511662454 |
Publisher: |
CAMBRIDGE UNIVERSITY PRESS |
Pub. date: |
5 May, 2010 |
Series: |
Cambridge Tracts in Mathematics 94 |
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. |
Publication: |
UK |
Imprint: |
Cambridge University Press (Virtual Publishing) |
Returns: |
Non-returnable |
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Ramadan and Eid al-Fitr
A celebratory, inclusive and educational exploration of Ramadan and Eid al-Fitr for both children that celebrate and children who want to understand and appreciate their peers who do.
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