Isometries Of Banach Spaces
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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
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.
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.
Isometries On Banach Spaces
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Author : Richard J. Fleming
language : en
Publisher:
Release Date : 1999-11
Isometries On Banach Spaces written by Richard J. Fleming and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-11 with categories.
The interest of these authors lies in explicit, canonical-form characterizations of isometries on Banach spaces, and in this monograph, they explore the topic in the context of classical function spaces. Designed for both experts and beginners in the field, their treatment presents a history of the subject, the important results, and a look at some of the wide variety of methods used in addressing the characterization problem in various types of spaces. The authors faithfully report the results of other researchers' original papers and offer some enlightening clarifications. Each chapter is self-contained and includes notes and remarks that touch upon related results and other approaches not addressed in the main text. Focuses on isometries on function spaces Presents the material according to the different classes of Banach spaces Offers self-contained chapters that allow readers to go immediately to any particular point of interest Includes an extensive bibliography
Isometries Of Banach Spaces
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Author : Irene Hejzler Loomis
language : en
Publisher:
Release Date : 1982
Isometries Of Banach Spaces written by Irene Hejzler Loomis and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1982 with Banach spaces categories.
Isometries On Banach Spaces Function Spaces Continuous Function Spaces The Banach Stone Theorem The Lp Spaces Isometries Of Spaces Of Analytic Functions Rearrangement Invariant Spaces Banach Algebras
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Author : Richard J. Fleming
language : en
Publisher:
Release Date : 2003
Isometries On Banach Spaces Function Spaces Continuous Function Spaces The Banach Stone Theorem The Lp Spaces Isometries Of Spaces Of Analytic Functions Rearrangement Invariant Spaces Banach Algebras written by Richard J. Fleming and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Banach spaces categories.
The Isometric Theory Of Classical Banach Spaces
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Author : H.E. Lacey
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
The Isometric Theory Of Classical Banach Spaces written by H.E. Lacey 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.
The purpose of this book is to present the main structure theorems in the isometric theory of classical Banach spaces. Elements of general topology, measure theory, and Banach spaces are assumed to be familiar to the reader. A classical Banach space is a Banach space X whose dual space is linearly isometric to Lp(j1, IR) (or Lp(j1, CC) in the complex case) for some measure j1 and some 1 ~ p ~ 00. If 1
Isometries On Banach Spaces Vector Valued Function Spaces The Banach Stone Property The Banach Stone Property For Bochner Spaces Orthogonal Decompositions Matrix Spaces Isometries Of Norm Ideals Of Operators Minimal And Maximal Norms
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Author : Richard J. Fleming
language : en
Publisher:
Release Date : 2003
Isometries On Banach Spaces Vector Valued Function Spaces The Banach Stone Property The Banach Stone Property For Bochner Spaces Orthogonal Decompositions Matrix Spaces Isometries Of Norm Ideals Of Operators Minimal And Maximal Norms written by Richard J. Fleming and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Banach spaces 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.
The Isometric Theory Of Classical Banach Spaces
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Author : H. Elton Lacey
language : en
Publisher: Springer Verlag
Release Date : 1974
The Isometric Theory Of Classical Banach Spaces written by H. Elton Lacey and has been published by Springer Verlag this book supported file pdf, txt, epub, kindle and other format this book has been release on 1974 with Banach spaces. categories.