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Orthonormal Systems and Banach Space Geometry

By: Albrecht Pietsch Jorg Wenzel (Author)

Ksh 8,820.00
Format :

Format(s): DRM PDF

ISBN-13: 9780511836428

Publisher: Cambridge University Press

Imprint: Cambridge University Press

Publication Date: February 6th, 2011

Country of Publication: GB

Language: English

Physical Edition EAN: 9780521624626

Category: Calculus & mathematical analysis , Functional analysis & transforms

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  • Description

  • Author Bio

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.

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