Author: Pei-Kee Lin
Publisher: Springer Science & Business Media
ISBN: 9780817635213
Category : Mathematics
Languages : en
Pages : 388
Book Description
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.
Köthe-Bochner Function Spaces
Author: Pei-Kee Lin
Publisher: Springer Science & Business Media
ISBN: 9780817635213
Category : Mathematics
Languages : en
Pages : 388
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 9780817635213
Category : Mathematics
Languages : en
Pages : 388
Book Description
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.
Köthe-Bochner Function Spaces
Author: Pei-Kee Lin
Publisher: Springer Science & Business Media
ISBN: 0817681884
Category : Mathematics
Languages : en
Pages : 384
Book Description
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.
Publisher: Springer Science & Business Media
ISBN: 0817681884
Category : Mathematics
Languages : en
Pages : 384
Book Description
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.
Geometry of Banach Spaces, Absolute Sums and Köthe-Bochner Spaces
Author: Jan-David Hardtke
Publisher:
ISBN:
Category :
Languages : en
Pages : 179
Book Description
Publisher:
ISBN:
Category :
Languages : en
Pages : 179
Book Description
Banach Spaces of Vector-Valued Functions
Author: Pilar Cembranos
Publisher: Springer
ISBN: 3540696393
Category : Mathematics
Languages : en
Pages : 124
Book Description
"When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. It presents a great number of results, methods and techniques, which are useful for any researcher in Banach spaces and, in general, in Functional Analysis. This book is written at a graduate student level, assuming the basics in Banach space theory.
Publisher: Springer
ISBN: 3540696393
Category : Mathematics
Languages : en
Pages : 124
Book Description
"When do the Lebesgue-Bochner function spaces contain a copy or a complemented copy of any of the classical sequence spaces?" This problem and the analogous one for vector- valued continuous function spaces have attracted quite a lot of research activity in the last twenty-five years. The aim of this monograph is to give a detailed exposition of the answers to these questions, providing a unified and self-contained treatment. It presents a great number of results, methods and techniques, which are useful for any researcher in Banach spaces and, in general, in Functional Analysis. This book is written at a graduate student level, assuming the basics in Banach space theory.
Function Spaces
Author: Henryk Hudzik
Publisher: CRC Press
ISBN: 1482270501
Category : Mathematics
Languages : en
Pages : 532
Book Description
This volume compiles research results from the fifth Function Spaces International Conference, held in Poznan, Poland. It presents key advances, modern applications and analyses of function spaces and contains two special sections recognizing the contributions and influence of Wladyslaw Orlicz and Genadil Lozanowskii.
Publisher: CRC Press
ISBN: 1482270501
Category : Mathematics
Languages : en
Pages : 532
Book Description
This volume compiles research results from the fifth Function Spaces International Conference, held in Poznan, Poland. It presents key advances, modern applications and analyses of function spaces and contains two special sections recognizing the contributions and influence of Wladyslaw Orlicz and Genadil Lozanowskii.
Geometry of Lebesgue-Bochner Function Spaces
Author: I. Edward Leonard
Publisher:
ISBN:
Category : Function spaces
Languages : en
Pages : 96
Book Description
Publisher:
ISBN:
Category : Function spaces
Languages : en
Pages : 96
Book Description
Classical Banach Spaces II
Author: J. Lindenstrauss
Publisher: Springer Science & Business Media
ISBN: 3662353474
Category : Mathematics
Languages : en
Pages : 253
Book Description
Publisher: Springer Science & Business Media
ISBN: 3662353474
Category : Mathematics
Languages : en
Pages : 253
Book Description
Geometry of Lebesque-Bochner Function Spaces - Smoothness
Author: Isaac Edward Leonard
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 348
Book Description
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 348
Book Description
Extreme Points of the Unit Cell in Lebesgue-Bochner Function Spaces
Author: Kondagunta Sundaresan
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 22
Book Description
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 22
Book Description
Function Spaces
Author: A. Kufner
Publisher: Springer Science & Business Media
ISBN: 9789028600157
Category : Mathematics
Languages : en
Pages : 484
Book Description
Kniha popisuje teorii různých prostorů funkcí a dává možnost funkcionálně analytickému přístupu k řešení diferenciálních rovnic. Je rozdělena do tří částí, z nichž první pojednává předběžně o funkcionální analýze, ovektorových, metrických, lineárních, Banachových a Hilbertových prostorech, operátorech apod. Druhá část pojednává o integrovatelných funkcích a o prostorech a integrálech různých autorů. V třetí části se popisují Sobolevovy aOrliczovy prostory, dále prostory anizotropní, Nikolského a Slobodeckého.
Publisher: Springer Science & Business Media
ISBN: 9789028600157
Category : Mathematics
Languages : en
Pages : 484
Book Description
Kniha popisuje teorii různých prostorů funkcí a dává možnost funkcionálně analytickému přístupu k řešení diferenciálních rovnic. Je rozdělena do tří částí, z nichž první pojednává předběžně o funkcionální analýze, ovektorových, metrických, lineárních, Banachových a Hilbertových prostorech, operátorech apod. Druhá část pojednává o integrovatelných funkcích a o prostorech a integrálech různých autorů. V třetí části se popisují Sobolevovy aOrliczovy prostory, dále prostory anizotropní, Nikolského a Slobodeckého.