Orthonormal Systems and Banach Space Geometry

Name: Orthonormal Systems and Banach Space Geometry
SKU: 2463741
Price: 449.99 AUD
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Hardback

Series:

Encyclopedia of Mathematics and Its Applications

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Description

Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions and Banach space geometry. Using harmonic analysis as a starting platform, classical inequalities and special functions are used to study orthonormal systems leading to an understanding of the advantages of systems consisting of characters on compact Abelian groups. Probabilistic concepts such as random variables and martingales are employed and Ramsey's theorem is used to study the theory of super-reflexivity. 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.

Release date Australia

September 10th, 1998

Author

Audience

Professional & Vocational

Illustrations

11 Tables, unspecified; 11 Line drawings, unspecified

Pages

564

Series

Encyclopedia of Mathematics and Its Applications

Dimensions

164x241x46

ISBN-13

9780521624626

Product ID

2463741

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