Banach Spaces Of Vector Valued Functions
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Banach Spaces Of Vector Valued Functions
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Author : Pilar Cembranos
language : en
Publisher: Springer
Release Date : 2006-11-14
Banach Spaces Of Vector Valued Functions written by Pilar Cembranos and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
"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.
Banach Spaces Of Vector Valued Functions
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Author : Pilar Cembranos
language : en
Publisher:
Release Date : 2014-01-15
Banach Spaces Of Vector Valued Functions written by Pilar Cembranos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Isometries On Banach Spaces
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Author : Richard J. Fleming
language : en
Publisher: CRC Press
Release Date : 2002-12-23
Isometries On Banach Spaces written by Richard J. Fleming and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-23 with Mathematics categories.
Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric
Banach And Hilbert Spaces Of Vector Valued Functions
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Author : Jacob Burbea
language : en
Publisher:
Release Date : 1984
Banach And Hilbert Spaces Of Vector Valued Functions written by Jacob Burbea and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with categories.
Isometries In Banach Spaces
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Author : Richard J. Fleming
language : en
Publisher: CRC Press
Release Date : 2007-11-15
Isometries In Banach Spaces written by Richard J. Fleming and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-11-15 with Mathematics categories.
A continuation of the authors' previous book, Isometries on Banach Spaces: Vector-valued Function Spaces and Operator Spaces, Volume Two covers much of the work that has been done on characterizing isometries on various Banach spaces. Picking up where the first volume left off, the book begins with a chapter on the Banach-Stone property.
Banach And Hilbert Spaces Of Vector Valued Functions
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Author : Jacob Burbea
language : en
Publisher:
Release Date : 1984
Banach And Hilbert Spaces Of Vector Valued Functions written by Jacob Burbea and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984 with Banach spaces categories.
Some Banach Spaces Of Vector Valued Functions Which Are Weakly Compactly Generated
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Author : Miguel A. Canela
language : en
Publisher:
Release Date : 1982
Some Banach Spaces Of Vector Valued Functions Which Are Weakly Compactly Generated written by Miguel A. Canela and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with categories.
Vector Measures
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Author : Joseph Diestel
language : en
Publisher: American Mathematical Soc.
Release Date : 1977-06-01
Vector Measures written by Joseph Diestel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1977-06-01 with Mathematics categories.
In this survey the authors endeavor to give a comprehensive examination of the theory of measures having values in Banach spaces. The interplay between topological and geometric properties of Banach spaces and the properties of measures having values in Banach spaces is the unifying theme. The first chapter deals with countably additive vector measures finitely additive vector measures, the Orlicz-Pettis theorem and its relatives. Chapter II concentrates on measurable vector valued functions and the Bochner integral. Chapter III begins the study of the interplay among the Radon-Nikodym theorem for vector measures, operators on $L_1$ and topological properties of Banach spaces. A variety of applications is given in the next chapter. Chapter V deals with martingales of Bochner integrable functions and their relation to dentable subsets of Banach spaces. Chapter VI is devoted to a measure-theoretic study of weakly compact absolutely summing and nuclear operators on spaces of continuous functions. In Chapter VII a detailed study of the geometry of Banach spaces with the Radon-Nikodym property is given. The next chapter deals with the use of Radon-Nikodym theorems in the study of tensor products of Banach spaces. The last chapter concludes the survey with a discussion of the Liapounoff convexity theorem and other geometric properties of the range of a vector measure. Accompanying each chapter is an extensive survey of the literature and open problems.
Banach Function Spaces Of Vector Valued Functions
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Author : Robert Ryan
language : en
Publisher:
Release Date : 1962
Banach Function Spaces Of Vector Valued Functions written by Robert Ryan and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1962 with Banach spaces categories.
The study of Banach spaces is considered, the elem nts of which are classes of measurable functions defined on a locally compact Hausdorff space with values in a fixed Banach space. Th norms of the spaces tudied are expressed in terms of length functions defined for positive measurable functions. Certain properties of the length function and the range space of the vector valued functions are reflected in the Banach function space. A representation is established of the dual spaces of these Banach function spaces in certain cases. (Author).