Absolutely Summing Operators
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Absolutely Summing Operators
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Author : Joe Diestel
language : en
Publisher: Cambridge University Press
Release Date : 1995-04-27
Absolutely Summing Operators written by Joe Diestel and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-04-27 with Mathematics categories.
This text provides the beginning graduate student with an account of p-summing and related operators.
Absolutely Summing Operators In Banach Spaces
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Author : Joseph Salvador Morrell
language : en
Publisher:
Release Date : 1970
Absolutely Summing Operators In Banach Spaces written by Joseph Salvador Morrell and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Banach spaces categories.
Some Applications Of The Theory Of Absolutely Summing Operators
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Author : Stanisław Kwapień
language : en
Publisher:
Release Date : 1969
Some Applications Of The Theory Of Absolutely Summing Operators written by Stanisław Kwapień and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Banach spaces categories.
Banach Spaces Of Analytic Functions And Absolutely Summing Operators
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Author : Aleksander Pełczyński
language : en
Publisher: American Mathematical Soc.
Release Date : 1977-12-31
Banach Spaces Of Analytic Functions And Absolutely Summing Operators written by Aleksander Pełczyński 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 1977-12-31 with Mathematics categories.
This book surveys results concerning bases and various approximation properties in the classical spaces of analytical functions. It contains extensive bibliographical comments.
Topics In Banach Space Theory
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Author : Fernando Albiac
language : en
Publisher: Taylor & Francis
Release Date : 2006-01-04
Topics In Banach Space Theory written by Fernando Albiac and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-04 with Mathematics categories.
This book emphasizes the isomorphic theory of Banach spaces and techniques using the unifying viewpoint of basic sequences. Its aim is to provide the reader with the necessary technical tools and background to reach the frontiers of research without the introduction of too many extraneous concepts. Detailed and accessible proofs are included, as are a variety of exercises and problems.
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.
Factorization Of Linear Operators And Geometry Of Banach Spaces
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Author : Gilles Pisier
language : en
Publisher: American Mathematical Soc.
Release Date : 1986
Factorization Of Linear Operators And Geometry Of Banach Spaces written by Gilles Pisier 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 1986 with Mathematics categories.
"Expository lectures from the CBMS regional conference held at the University of Missouri-Columbia, June 25-29, 1984"--T.p. verso.
Sequences And Series In Banach Spaces
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Author : J. Diestel
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Sequences And Series In Banach Spaces written by J. Diestel and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
This volume presents answers to some natural questions of a general analytic character that arise in the theory of Banach spaces. I believe that altogether too many of the results presented herein are unknown to the active abstract analysts, and this is not as it should be. Banach space theory has much to offer the prac titioners of analysis; unfortunately, some of the general principles that motivate the theory and make accessible many of its stunning achievements are couched in the technical jargon of the area, thereby making it unapproachable to one unwilling to spend considerable time and effort in deciphering the jargon. With this in mind, I have concentrated on presenting what I believe are basic phenomena in Banach spaces that any analyst can appreciate, enjoy, and perhaps even use. The topics covered have at least one serious omission: the beautiful and powerful theory of type and cotype. To be quite frank, I could not say what I wanted to say about this subject without increasing the length of the text by at least 75 percent. Even then, the words would not have done as much good as the advice to seek out the rich Seminaire Maurey-Schwartz lecture notes, wherein the theory's development can be traced from its conception. Again, the treasured volumes of Lindenstrauss and Tzafriri also present much of the theory of type and cotype and are must reading for those really interested in Banach space theory.
Absolutely Summing Operators In P Spaces And Their Applications
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Author : Joram Lindenstrauss
language : en
Publisher:
Release Date : 1967
Absolutely Summing Operators In P Spaces And Their Applications written by Joram Lindenstrauss and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967 with categories.
Factorization Of Linear Operators And Geometry Of Banach Spaces
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Author : Gilles Pisier
language : en
Publisher: American Mathematical Soc.
Release Date : 1986*
Factorization Of Linear Operators And Geometry Of Banach Spaces written by Gilles Pisier 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 1986* with Mathematics categories.