Download or read book Introductory Theory of Topological Vector SPates written by Yau-Chuen Wong and published by Routledge. This book was released on 2019-01-25 with total page 440 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introductory Theory of Topological Vector Spaces written by Yau-Chuen Wong and published by . This book was released on 1992 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Introductory Theory of Topological Vector SPates written by Yau-Chuen Wong and published by Routledge. This book was released on 2019-01-25 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Topological Vector Spaces written by Lawrence Narici and published by CRC Press. This book was released on 2010-07-26 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Topological Vector Spaces and Distributions written by John Horvath and published by Courier Corporation. This book was released on 2013-10-03 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Matrices and Vector SPates written by William Brown and published by CRC Press. This book was released on 1991-03-01 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book An Introduction to Multicomplex SPates and Functions written by Price and published by CRC Press. This book was released on 2018-05-11 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Topological Vector Spaces written by Alex P. Robertson and published by . This book was released on 1964 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Vector Spaces written by Norbert Adasch and published by Springer. This book was released on 2006-11-15 with total page 130 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Bundles of Topological Vector Spaces and Their Duality written by G. Gierz and published by . This book was released on 2014-01-15 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Classical Sequences in Banach SPates written by Sylvia Guerre-Delabriere and published by CRC Press. This book was released on 1992-07-21 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Vector Spaces written by Robertson A. and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Vector Spaces written by H. H. Schaefer and published by . This book was released on 2014-09-01 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Vector Spaces Second Edition written by Lawrence Narici and published by CRC Press. This book was released on 1985-10-30 with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Topological Vector Spaces written by and published by . This book was released on 1967 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Vector Spaces written by Alexandre Grothendieck and published by . This book was released on 1975 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Topological Vector Spaces written by A. P. Robertson and published by . This book was released on 1980 with total page 172 pages. Available in PDF, EPUB and Kindle. Book excerpt: