Orthonormal Systems and Banach Space Geometry

Orthonormal Systems and Banach Space Geometry

by Albrecht Pietsch, Jorg Wenzel, J. Rg Wenzel
     
 

ISBN-10: 0521054311

ISBN-13: 9780521054317

Pub. Date: 01/21/2008

Publisher: Cambridge University Press

Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for…  See more details below

Overview

Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. The text yields a detailed insight into concepts including type and co-type of Banach spaces, B-convexity, super-reflexivity, the vector-valued Fourier transform, the vector-valued Hilbert transform and the unconditionality property for martingale differences (UMD). A long list of unsolved problems is included as a starting point for research. This book should be accessible to graduate students and researchers with some basic knowledge of Banach space theory, real analysis, probability and algebra.

Product Details

ISBN-13:
9780521054317
Publisher:
Cambridge University Press
Publication date:
01/21/2008
Series:
Encyclopedia of Mathematics and its Applications Series, #70
Pages:
564
Product dimensions:
6.14(w) x 9.21(h) x 1.14(d)

Table of Contents

Preface
Introduction1
0Preliminaries4
1Ideal norms and operator ideals25
2Ideal norms associated with matrices35
3Ideal norms associated with orthonormal systems65
4Rademacher and Gauss ideal norms126
5Trigonometric ideal norms235
6Walsh ideal norms321
7Haar ideal norms344
8Unconditionality429
9Miscellaneous461
Summaries509
List of symbols514
Bibliography523
Index546

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