Introductory Theory Of Topological Vector Spates
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Introductory Theory Of Topological Vector Spates
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Author : Yau-Chuen Wong
language : en
Publisher: Routledge
Release Date : 2019-01-25
Introductory Theory Of Topological Vector Spates written by Yau-Chuen Wong and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-25 with Mathematics categories.
This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.
Introductory Theory Of Topological Vector Spaces
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Author : Yau-Chuen Wong
language : en
Publisher:
Release Date : 1992
Introductory Theory Of Topological Vector Spaces written by Yau-Chuen Wong and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with categories.
Introductory Theory Of Topological Vector Spates
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Author : Yau-Chuen Wong
language : en
Publisher: Routledge
Release Date : 2019-01-25
Introductory Theory Of Topological Vector Spates written by Yau-Chuen Wong and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-01-25 with Mathematics categories.
This text offers an overview of the basic theories and techniques of functional analysis and its applications. It contains topics such as the fixed point theory starting from Ky Fan's KKM covering and quasi-Schwartz operators. It also includes over 200 exercises to reinforce important concepts.;The author explores three fundamental results on Banach spaces, together with Grothendieck's structure theorem for compact sets in Banach spaces (including new proofs for some standard theorems) and Helley's selection theorem. Vector topologies and vector bornologies are examined in parallel, and their internal and external relationships are studied. This volume also presents recent developments on compact and weakly compact operators and operator ideals; and discusses some applications to the important class of Schwartz spaces.;This text is designed for a two-term course on functional analysis for upper-level undergraduate and graduate students in mathematics, mathematical physics, economics and engineering. It may also be used as a self-study guide by researchers in these disciplines.
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 And Distributions
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Author : John Horvath
language : en
Publisher: Courier Corporation
Release Date : 2013-10-03
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 2013-10-03 with Mathematics categories.
Precise exposition provides an excellent summary of the modern theory of locally convex spaces and develops the theory of distributions in terms of convolutions, tensor products, and Fourier transforms. 1966 edition.
Topological Vector Spaces
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Author : Alex P. Robertson
language : en
Publisher:
Release Date : 1964
Topological Vector Spaces written by Alex P. Robertson and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Linear topological spaces categories.
Topological Vector Spaces
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Author : Norbert Adasch
language : en
Publisher: Springer
Release Date : 2006-11-15
Topological Vector Spaces written by Norbert Adasch 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 first five sections deliver the general setting of the theory (topological vector spaces, metrizability, projective and inductive limits, topological direct sums). In sections 6-10 we investigate the class of "barrelled" topological vector spaces which is important also in this general theory. The main part of these sections is take by theorems on linear mappings (the Banach-Steinhaus theorem, closed graph theorems, open mapping theorems). Section 11 introduces the "bornological" spaces, and in section 12 we deal with spaces of linear mappings and their topologies. Interesting generalizations of the class of (DF)-spaces are given in sections 15-17 by considering the following property: a subset, which is "large enough", is a neighborhood of 0, if and only if it includes a neighborhood on all bounded balanced sets. Finally, section 18 interprets and completes the foregoing considerations for (DF)-spaces.
Topological Vector Spaces Second Edition
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Author : Lawrence Narici
language : en
Publisher: CRC Press
Release Date : 1985-10-30
Topological Vector Spaces Second Edition 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 1985-10-30 with Science categories.
Topological Vector Spaces provides a detailed survey of functional analysis. It covers such basic principles as the Banach-Steinhaus ... Hahn-Banach ... and Krein-Milman -- and includes a closed graph theorem with an introduction to webbed spaces. Supplemented by numerous examples and exercises, this volume provides a solid foundation for anyone interested in distribution theory. Topological Vector Spaces is important reading for analysts, physicists and engineers interested in distribution theory, and graduate-level and professional researchers in functional analysis. Book jacket.
Matrices And Vector Spates
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Author : William Brown
language : en
Publisher: CRC Press
Release Date : 1991-03-01
Matrices And Vector Spates written by William Brown and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-03-01 with Mathematics categories.
A textbook for a one-semester course in linear algebra for graduate or upper-level undergraduate students of mathematics and engineering. Employs a matrix perspective, and emphasizes training in definitions, theorems, and proofs. Annotation copyright Book News, Inc. Portland, Or.
An Introduction To Multicomplex Spates And Functions
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Author : Price
language : en
Publisher: CRC Press
Release Date : 2018-05-11
An Introduction To Multicomplex Spates And Functions written by Price and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-05-11 with Mathematics categories.
A rather pretty little book, written in the form of a text but more likely to be read simply for pleasure, in which the author (Professor Emeritus of Mathematics at the U. of Kansas) explores the analog of the theory of functions of a complex variable which comes into being when the complexes are re