Orthonormal Systems and Banach Space Geometry - Couverture rigide

Pietsch, Albrecht; Wenzel, Jörg

Couverture rigide

ISBN 10 : 0521624622 ISBN 13 : 9780521624626

Editeur : Cambridge University Press, 1998

Synopsis

This book describes the interplay between orthonormal expansions and Banach space geometry.

A propos du livre

Présentation de l'éditeur

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.

Revue de presse

'This work will certainly become a standard reference.' Zenbralblatt MATH

' ... the book contains an enormous amount of information ... it will serve as an invaluable reference book for years to come.' G. J. O. Jameson

' ... this volume [is certain] to become a standard reference.' M. Grosser, Monatshefte für Mathematik

Détails de l'édition

• Éditeur: Cambridge University Press
• Date d'édition: 1998
• Langue: anglais
• ISBN 10: 0521624622
• ISBN 13: 9780521624626
• Reliure: Relié
• Nombre de pages: 564
• Coordonnées du fabricant: non disponible
• Personne responsable: Avery; https://www.avery.fr/; ; chemin des peupliers 27; Dardilly; France