Topological Vector Spaces
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Topological Vector Spaces
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Author : Alex P. Robertson
language : en
Publisher: CUP Archive
Release Date : 1980
Topological Vector Spaces written by Alex P. Robertson and has been published by CUP Archive this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Mathematics categories.
Topological Vector Spaces
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Author : H.H. Schaefer
language : en
Publisher: Springer Science & Business Media
Release Date : 1999-06-24
Topological Vector Spaces written by H.H. Schaefer 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 1999-06-24 with Mathematics categories.
Intended as a systematic text on topological vector spaces, this text assumes familiarity with the elements of general topology and linear algebra. Similarly, the elementary facts on Hilbert and Banach spaces are not discussed in detail here, since the book is mainly addressed to those readers who wish to go beyond the introductory level. Each of the chapters is preceded by an introduction and followed by exercises, which in turn are devoted to further results and supplements, in particular, to examples and counter-examples, and hints have been given where appropriate. This second edition has been thoroughly revised and includes a new chapter on C^* and W^* algebras.
Topological Vector Spaces Distributions And Kernels
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Author : Francois Treves
language : en
Publisher: Courier Corporation
Release Date : 2006-01-01
Topological Vector Spaces Distributions And Kernels written by Francois Treves and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-01 with Mathematics categories.
Extending beyond the boundaries of Hilbert and Banach space theory, this text focuses on key aspects of functional analysis, particularly in regard to solving partial differential equations. 1967 edition.
Topological Vector Spaces I
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Author : Gottfried Köthe
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Topological Vector Spaces I written by Gottfried Köthe 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.
It is the author's aim to give a systematic account of the most im portant ideas, methods and results of the theory of topological vector spaces. After a rapid development during the last 15 years, this theory has now achieved a form which makes such an account seem both possible and desirable. This present first volume begins with the fundamental ideas of general topology. These are of crucial importance for the theory that follows, and so it seems necessary to give a concise account, giving complete proofs. This also has the advantage that the only preliminary knowledge required for reading this book is of classical analysis and set theory. In the second chapter, infinite dimensional linear algebra is considered in comparative detail. As a result, the concept of dual pair and linear topologies on vector spaces over arbitrary fields are intro duced in a natural way. It appears to the author to be of interest to follow the theory of these linearly topologised spaces quite far, since this theory can be developed in a way which closely resembles the theory of locally convex spaces. It should however be stressed that this part of chapter two is not needed for the comprehension of the later chapters. Chapter three is concerned with real and complex topological vector spaces. The classical results of Banach's theory are given here, as are fundamental results about convex sets in infinite dimensional spaces.
Topological Vector Spaces Distributions And Kernels
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Author :
language : en
Publisher: Academic Press
Release Date : 1967-01-01
Topological Vector Spaces Distributions And Kernels written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1967-01-01 with Mathematics categories.
Topological Vector Spaces, Distributions and Kernels
Topological Vector Spaces And Distributions
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Author : John Horvath
language : en
Publisher: Courier Corporation
Release Date : 2012-01-01
Topological Vector Spaces And Distributions written by John Horvath and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-01-01 with Mathematics categories.
"The most readable introduction to the theory of vector spaces available in English and possibly any other language."—J. L. B. Cooper, MathSciNet ReviewMathematically rigorous but user-friendly, this classic treatise discusses major modern contributions to the field of topological vector spaces. The self-contained treatment includes complete proofs for all necessary results from algebra and topology. Suitable for undergraduate mathematics majors with a background in advanced calculus, this volume will also assist professional mathematicians, physicists, and engineers.The precise exposition of the first three chapters—covering Banach spaces, locally convex spaces, and duality—provides an excellent summary of the modern theory of locally convex spaces. The fourth and final chapter develops the theory of distributions in relation to convolutions, tensor products, and Fourier transforms. Augmented with many examples and exercises, the text includes an extensive bibliography.Reprint of the Addison-Wesley Publishing Company, Reading, Massachusetts, 1966 edition.
Topological Vector Spaces
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Author : Lawrence Narici
language : en
Publisher: CRC Press
Release Date : 2010-07-26
Topological Vector Spaces written by Lawrence Narici and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010-07-26 with Mathematics categories.
With many new concrete examples and historical notes, Topological Vector Spaces, Second Edition provides one of the most thorough and up-to-date treatments of the Hahn-Banach theorem. This edition explores the theorem's connection with the axiom of choice, discusses the uniqueness of Hahn-Banach extensions, and includes an entirely new chapter on v
Topological Vector Spaces
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Author : Nicolas Bourbaki
language : en
Publisher:
Release Date : 1987
Topological Vector Spaces written by Nicolas Bourbaki and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Linear topological spaces categories.
Topological Vector Spaces And Algebras
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Author : Lucien Waelbroeck
language : en
Publisher: Springer
Release Date : 2006-11-15
Topological Vector Spaces And Algebras written by Lucien Waelbroeck 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.
The lectures associated with these notes were given at the Instituto de Matematica Pura e Aplicada (IMPA) in Rio de Janeiro, during the local winter 1970. To emphasize the properties of topological algebras, the author had started out his lecture with results about topological algebras, and introduced the linear results as he went along.
Topological Vector Spaces
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Author : N. Bourbaki
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-12-01
Topological Vector Spaces written by N. Bourbaki 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 2013-12-01 with Mathematics categories.
This is a softcover reprint of the English translation of 1987 of the second edition of Bourbaki's Espaces Vectoriels Topologiques (1981). This [second edition] is a brand new book and completely supersedes the original version of nearly 30 years ago. But a lot of the material has been rearranged, rewritten, or replaced by a more up-to-date exposition, and a good deal of new material has been incorporated in this book, all reflecting the progress made in the field during the last three decades. Table of Contents. Chapter I: Topological vector spaces over a valued field. Chapter II: Convex sets and locally convex spaces. Chapter III: Spaces of continuous linear mappings. Chapter IV: Duality in topological vector spaces. Chapter V: Hilbert spaces (elementary theory).