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Kthe-Bochner Function Spaces (Progress in Mathematics)

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Kthe-Bochner Function Spaces (Progress in Mathematics) Cover

 

Synopses & Reviews

Publisher Comments:

This monograph is devoted to the study of Köthe-Bochner function spaces, an area of research at the intersection of Banach space theory, harmonic analysis, probability, and operator theory. It presents a comprehensive view of Köthe-Bochner function spaces, from the subject's origins in functional analysis to its connections to other disciplines. Key topics and features: • 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 Köthe-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.

Synopsis:

This monograph is devoted to the study of Köthe-Bochner function spaces, an active 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 the subject from its origins in functional analysis to its connections to other disciplines. Considerable background material is provided, and the theory of Köthe-Bochner spaces is rigorously developed, with a particular focus on open problems.  Extensive historical information, references, and questions for further study are included; instructive examples and many exercises are incorporated 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.

Table of Contents

Preface * Notation * Classical Theorems * Convexity and Smoothness * Köthe-Bochner Function Spaces * Stability Properties I * Stability Properties II * Continuous Function Spaces * References * Index

Product Details

ISBN:
9780817635213
Author:
Lin, Pei-kee
Publisher:
Birkhauser
Author:
Lin, Pei-Kee
Subject:
Mathematical Analysis
Subject:
Transformations
Subject:
Functional Analysis
Subject:
Analysis
Subject:
abstract harmonic analysis
Subject:
Operator theory
Subject:
Real functions
Subject:
Probability Theory and Stochastic Processes
Subject:
Mathematics - Advanced
Copyright:
Edition Number:
1
Edition Description:
Book
Series:
Progress in Mathematics
Publication Date:
December 2003
Binding:
HARDCOVER
Language:
English
Illustrations:
Y
Pages:
383
Dimensions:
235 x 155 mm 1590 gr

Related Subjects

Reference » Science Reference » General
Science and Mathematics » Materials Science » General
Science and Mathematics » Mathematics » Advanced
Science and Mathematics » Mathematics » Analysis General
Science and Mathematics » Mathematics » Calculus » General
Science and Mathematics » Mathematics » Functional Analysis
Science and Mathematics » Mathematics » General

Kthe-Bochner Function Spaces (Progress in Mathematics) New Hardcover
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$170.50 In Stock
Product details 383 pages Birkhauser - English 9780817635213 Reviews:
"Synopsis" by , This monograph is devoted to the study of Köthe-Bochner function spaces, an active 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 the subject from its origins in functional analysis to its connections to other disciplines. Considerable background material is provided, and the theory of Köthe-Bochner spaces is rigorously developed, with a particular focus on open problems.  Extensive historical information, references, and questions for further study are included; instructive examples and many exercises are incorporated 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.
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