Characterizations Of Some Functors Of Categories Of Banach Spaces
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Characterizations Of Some Functions Of Categories Of Banach Spaces
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Author : Pothoven K.
language : en
Publisher:
Release Date : 1969
Characterizations Of Some Functions Of Categories Of Banach Spaces written by Pothoven K. 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.
Functors And Categories Of Banach Spaces
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Author : P.W. Michor
language : en
Publisher: Springer
Release Date : 2006-11-15
Functors And Categories Of Banach Spaces written by P.W. Michor and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.
Functors And Categories Of Banach Spaces
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Author : P W Michor
language : en
Publisher: Springer
Release Date : 2014-01-15
Functors And Categories Of Banach Spaces written by P W Michor and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Banach Modules And Functors On Categories Of Banach Spaces
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Author : Johann Cigler
language : en
Publisher:
Release Date : 1979
Banach Modules And Functors On Categories Of Banach Spaces written by Johann Cigler and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1979 with Mathematics categories.
Derived Functors In Functional Analysis
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Author : Jochen Wengenroth
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-04-10
Derived Functors In Functional Analysis written by Jochen Wengenroth 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 2003-04-10 with Mathematics categories.
The text contains for the first time in book form the state of the art of homological methods in functional analysis like characterizations of the vanishing of the derived projective limit functor or the functors Ext1 (E, F) for Fréchet and more general spaces. The researcher in real and complex analysis finds powerful tools to solve surjectivity problems e.g. on spaces of distributions or to characterize the existence of solution operators. The requirements from homological algebra are minimized: all one needs is summarized on a few pages. The answers to several questions of V.P. Palamodov who invented homological methods in analysis also show the limits of the program.
Lecture Notes In Mathematics
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Author :
language : en
Publisher:
Release Date : 1964
Lecture Notes In Mathematics written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Banach spaces categories.
Functors In Categories Of Banach Spaces
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Author : Noel Dee Evans
language : en
Publisher:
Release Date : 1968
Functors In Categories Of Banach Spaces written by Noel Dee Evans and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1968 with Functor theory categories.
Isometries On Banach Spaces
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Author : Richard J. Fleming
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2002-12-23
Isometries On Banach Spaces written by Richard J. Fleming and has been published by Chapman and Hall/CRC 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 space must transform a continuous function x into a continuous function y satisfying y(t) = h(t)x(p(t)), where p is a homeomorphism and |h| is identically one. Isometries on Banach Spaces: Function Spaces is the first of two planned volumes that survey investigations of Banach-space isometries. This volume emphasizes the characterization of isometries and focuses on establishing the type of explicit, canonical form given above in a variety of settings. After an introductory discussion of isometries in general, four chapters are devoted to describing the isometries on classical function spaces. The final chapter explores isometries on Banach algebras. This treatment provides a clear account of historically important results, exposes the principal methods of attack, and includes some results that are more recent and some that are lesser known. Unique in its focus, this book will prove useful for experts as well as beginners in the field and for those who simply want to acquaint themselves with this area of Banach space theory.
Banach Spaces Of Analytic Functions
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Author : Rita A. Hibschweiler
language : en
Publisher: American Mathematical Soc.
Release Date : 2008-03-14
Banach Spaces Of Analytic Functions written by Rita A. Hibschweiler 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 2008-03-14 with Mathematics categories.
This volume is focused on Banach spaces of functions analytic in the open unit disc, such as the classical Hardy and Bergman spaces, and weighted versions of these spaces. Other spaces under consideration here include the Bloch space, the families of Cauchy transforms and fractional Cauchy transforms, BMO, VMO, and the Fock space. Some of the work deals with questions about functions in several complex variables. Multiplication operators, composition operators and weighted composition operators form a central topic of the volume. This topic has been an extensive area of research for the past twenty years. This volume includes results characterizing bounded, compact and isometric composition operators in various settings. Graduate students who are interested in analysis will find an overview of current work in the field. Specialists will find interesting questions and new methods, as well as familiar ideas (such as composition operators) seen in new settings or in more general form. Mathematicians with an interest in modern analysis will gain insight into the interplay between function theory and operator theory which is central to this work.
Isometries On Banach Spaces
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Author : Richard J. Fleming
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2002-12-23
Isometries On Banach Spaces written by Richard J. Fleming and has been published by Chapman and Hall/CRC 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 space must transform a continuous function x into a continuous function y satisfying y(t) = h(t)x(p(t)), where p is a homeomorphism and |h| is identically one. Isometries on Banach Spaces: Function Spaces is the first of two planned volumes that survey investigations of Banach-space isometries. This volume emphasizes the characterization of isometries and focuses on establishing the type of explicit, canonical form given above in a variety of settings. After an introductory discussion of isometries in general, four chapters are devoted to describing the isometries on classical function spaces. The final chapter explores isometries on Banach algebras. This treatment provides a clear account of historically important results, exposes the principal methods of attack, and includes some results that are more recent and some that are lesser known. Unique in its focus, this book will prove useful for experts as well as beginners in the field and for those who simply want to acquaint themselves with this area of Banach space theory.