Introductory Theory Of Topological Vector Spates
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Introductory Theory of Topological Vector SPates
Author | : Yau-Chuen Wong |
Publsiher | : Routledge |
Total Pages | : 440 |
Release | : 2019-01-25 |
Genre | : Mathematics |
ISBN | : 9781351436465 |
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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 |
Publsiher | : Unknown |
Total Pages | : 420 |
Release | : 1992 |
Genre | : Electronic Book |
ISBN | : LCCN:92020435 |
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Introductory Theory of Topological Vector SPates
Author | : Yau-Chuen Wong |
Publsiher | : Routledge |
Total Pages | : 206 |
Release | : 2019-01-25 |
Genre | : Mathematics |
ISBN | : 9781351436458 |
Download Introductory Theory of Topological Vector SPates Book in PDF, Epub and Kindle
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
Author | : Lawrence Narici,Edward Beckenstein |
Publsiher | : CRC Press |
Total Pages | : 628 |
Release | : 2010-07-26 |
Genre | : Mathematics |
ISBN | : 9781584888673 |
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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
Author | : John Horvath |
Publsiher | : Courier Corporation |
Total Pages | : 466 |
Release | : 2013-10-03 |
Genre | : Mathematics |
ISBN | : 9780486311036 |
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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.
Matrices and Vector SPates
Author | : William Brown |
Publsiher | : CRC Press |
Total Pages | : 338 |
Release | : 1991-03-01 |
Genre | : Mathematics |
ISBN | : 0824784197 |
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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.
Topological Vector Spaces
Author | : Alex P. Robertson,Wendy Robertson |
Publsiher | : Unknown |
Total Pages | : 172 |
Release | : 1964 |
Genre | : Linear topological spaces |
ISBN | : UOM:39015038990100 |
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An Introduction to Multicomplex SPates and Functions
Author | : Price |
Publsiher | : CRC Press |
Total Pages | : 424 |
Release | : 2018-05-11 |
Genre | : Mathematics |
ISBN | : 9781351467094 |
Download An Introduction to Multicomplex SPates and Functions Book in PDF, Epub and Kindle
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