Orthonormal Systems and Banach Space Geometry

Name: Orthonormal Systems and Banach Space Geometry
Brand: Cambridge University Press
SKU: 9780521054317
Price: 408.87 RON
Availability: InStock

Autor: Albrecht PietschJörg Wenzel

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Legare: Carte broșată

Editura: Cambridge University Press

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408.87 lei

Orthonormal Systems and Banach Space Geometry describes the interplay between orthonormal expansions...

Informații despre carte

Autor

Albrecht PietschJörg Wenzel

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2008

Pagini

564

EAN

9780521054317

ISBN

0521054311

Enbook ID

02020085

Editura

Cambridge University Press

Greutate

816

Dimensiuni

156 x 233 x 27

Descriere completă

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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