Isometries In 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 On Banach Spaces
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Author :
language : en
Publisher:
Release Date : 2003
Isometries On Banach Spaces written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with categories.
Geometric Nonlinear Functional Analysis
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Author : Yoav Benyamini
language : en
Publisher: American Mathematical Soc.
Release Date : 1998
Geometric Nonlinear Functional Analysis written by Yoav Benyamini 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 1998 with Mathematics categories.
This book presents a systematic and unified study of geometric nonlinear functional analysis. This area has its classical roots in the beginning of the twentieth century and is now a very active research area, having close connections to geometric measure theory, probability, classical analysis, combinatorics, and Banach space theory. The main theme of the book is the study of uniformly continuous and Lipschitz functions between Banach spaces (e.g., differentiability, stability, approximation, existence of extensions, fixed points, etc.). This study leads naturally also to the classification of Banach spaces and of their important subsets (mainly spheres) in the uniform and Lipschitz categories. Many recent rather deep theorems and delicate examples are included with complete and detailed proofs. Challenging open problems are described and explained, and promising new research directions are indicated.
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.
Inequality Theory And Applications
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Author :
language : en
Publisher: Nova Publishers
Release Date : 2007
Inequality Theory And Applications written by and has been published by Nova Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007 with Inequalities (Mathematics) categories.
Developments In Functional Equations And Related Topics
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Author : Janusz Brzdęk
language : en
Publisher: Springer
Release Date : 2017-08-14
Developments In Functional Equations And Related Topics written by Janusz Brzdęk and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-08-14 with Mathematics categories.
This book presents current research on Ulam stability for functional equations and inequalities. Contributions from renowned scientists emphasize fundamental and new results, methods and techniques. Detailed examples are given to theories to further understanding at the graduate level for students in mathematics, physics, and engineering. Key topics covered in this book include: Quasi means Approximate isometries Functional equations in hypergroups Stability of functional equations Fischer-Muszély equation Haar meager sets and Haar null sets Dynamical systems Functional equations in probability theory Stochastic convex ordering Dhombres functional equation Nonstandard analysis and Ulam stability This book is dedicated in memory of Staniłsaw Marcin Ulam, who posed the fundamental problem concerning approximate homomorphisms of groups in 1940; which has provided the stimulus for studies in the stability of functional equations and inequalities.
Hyers Ulam Rassias Stability Of Functional Equations In Nonlinear Analysis
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Author : Soon-Mo Jung
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-04-11
Hyers Ulam Rassias Stability Of Functional Equations In Nonlinear Analysis written by Soon-Mo Jung 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 2011-04-11 with Mathematics categories.
No books dealing with a comprehensive illustration of the fast developing field of nonlinear analysis had been published for the mathematicians interested in this field for more than a half century until D. H. Hyers, G. Isac and Th. M. Rassias published their book, "Stability of Functional Equations in Several Variables". This book will complement the books of Hyers, Isac and Rassias and of Czerwik (Functional Equations and Inequalities in Several Variables) by presenting mainly the results applying to the Hyers-Ulam-Rassias stability. Many mathematicians have extensively investigated the subjects on the Hyers-Ulam-Rassias stability. This book covers and offers almost all classical results on the Hyers-Ulam-Rassias stability in an integrated and self-contained fashion.