Köthe-Bochner function spaces

Pei-Kee Lin

370 pages, parution le 29/03/2004

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Résumé

This monograph is devoted to the study of Kothe-Bochner function spaces, an area of research at the intersection of Banach space theory, harmonic analysis, probability, and operator theory. A number of significant results-many scattered throughout the literature-are distilled and presented here, giving readers a comprehensive view of Kothe-Bochner function spaces from the subject's origins in functional analysis to its connections to other disciplines.

Key features and topics:

Considerable background material provided, including a compilation of important theorems and concepts in classical functional analysis, as well as a discussion of the Dunford-Pettis Property, tensor products of Banach spaces, relevant geometry, and the basic theory of conditional expectations and martingales
Rigorous treatment of Kothe-Bochner spaces, encompassing convexity, measurability, stability properties, Dunford-Pettis operators, and Talagrand spaces, with a particular emphasis on open problems
Detailed examination of Talagrand's Theorem, Bourgain's Theorem, and the Diaz-Kalton Theorem, the latter extended to arbitrary measure spaces
"Notes and remarks" after each chapter, with extensive historical information, references, and questions for further study
Instructive examples and many exercises throughout

Both expansive and precise, this book's unique approach and systematic organization will appeal to advanced graduate students and researchers in functional analysis, probability, operator theory, and related fields.

Sommaire

Classical theorems
Convexity and smoothness
Köthe-Bochner function spaces
Stability properties I
Stability properties II
Continous function spaces

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Caractéristiques techniques

	PAPIER
Éditeur(s)	Birkhäuser
Auteur(s)	Pei-Kee Lin
Parution	29/03/2004
Nb. de pages	370
Format	16 x 24
Couverture	Relié
Poids	678g
Intérieur	Noir et Blanc
EAN13	9780817635213
ISBN13	978-0-8176-3521-3