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Köthe-Bochner Function Spaces

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Release : 2003-12-12
Genre : Mathematics
Kind : eBook
Book Rating : 213/5 ( reviews)

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Book Synopsis Köthe-Bochner Function Spaces by : Pei-Kee Lin

Download or read book Köthe-Bochner Function Spaces written by Pei-Kee Lin. This book was released on 2003-12-12. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Release : 2011-06-27
Genre : Mathematics
Kind : eBook
Book Rating : 884/5 ( reviews)

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Book Synopsis Köthe-Bochner Function Spaces by : Pei-Kee Lin

Download or read book Köthe-Bochner Function Spaces written by Pei-Kee Lin. This book was released on 2011-06-27. Available in PDF, EPUB and Kindle. Book excerpt: 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

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Release : 2015
Genre :
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis Geometry of Banach Spaces, Absolute Sums and Köthe-Bochner Spaces by : Jan-David Hardtke

Download or read book Geometry of Banach Spaces, Absolute Sums and Köthe-Bochner Spaces written by Jan-David Hardtke. This book was released on 2015. Available in PDF, EPUB and Kindle. Book excerpt:

Function Spaces

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Release : 2000-07-18
Genre : Mathematics
Kind : eBook
Book Rating : 501/5 ( reviews)

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Book Synopsis Function Spaces by : Henryk Hudzik

Download or read book Function Spaces written by Henryk Hudzik. This book was released on 2000-07-18. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Banach Spaces of Vector-Valued Functions

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Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 393/5 ( reviews)

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Book Synopsis Banach Spaces of Vector-Valued Functions by : Pilar Cembranos

Download or read book Banach Spaces of Vector-Valued Functions written by Pilar Cembranos. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: "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.

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