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Köthe-Bochner function spaces
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Köthe-Bochner function spaces

Köthe-Bochner function spaces

Pei-Kee Lin

370 pages, parution le 29/03/2004

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

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