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Author : Sylvia Guerre-Delabriere
Publisher : CRC Press
ISBN 13 : 9780824787233
Total Pages : 234 pages
Book Rating : 4.34/5 ( download)
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:
Author : J. Lindenstrauss
Publisher : Springer Science & Business Media
ISBN 13 : 3642665578
Total Pages : 202 pages
Book Rating : 4.78/5 ( download)
Download or read book Classical Banach Spaces I written by J. Lindenstrauss and published by Springer Science & Business Media. This book was released on 2013-11-11 with total page 202 pages. Available in PDF, EPUB and Kindle. Book excerpt: The appearance of Banach's book [8] in 1932 signified the beginning of a syste matic study of normed linear spaces, which have been the subject of continuous research ever since. In the sixties, and especially in the last decade, the research activity in this area grew considerably. As a result, Ban:ach space theory gained very much in depth as well as in scope: Most of its well known classical problems were solved, many interesting new directions were developed, and deep connections between Banach space theory and other areas of mathematics were established. The purpose of this book is to present the main results and current research directions in the geometry of Banach spaces, with an emphasis on the study of the structure of the classical Banach spaces, that is C(K) and Lip.) and related spaces. We did not attempt to write a comprehensive survey of Banach space theory, or even only of the theory of classical Banach spaces, since the amount of interesting results on the subject makes such a survey practically impossible.
Author : Yau-Chuen Wong
Publisher : Routledge
ISBN 13 : 1351436457
Total Pages : 206 pages
Book Rating : 4.58/5 ( download)
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.
Author : Joram Lindenstrauss
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.33/5 ( download)
Download or read book Classical Banach spaces written by Joram Lindenstrauss and published by . This book was released on 1977 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pawan K. Jain
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173192395
Total Pages : 162 pages
Book Rating : 4.91/5 ( download)
Download or read book Sequence Spaces and Applications written by Pawan K. Jain and published by Alpha Science Int'l Ltd.. This book was released on 1999 with total page 162 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains referred articles covering areas in classical as well as modern sequence space theory. The major topics covered are: classical sequence spaces; duals and matrix transformation; structure and topology; and applications. The book should be useful to postgraduates and the researchers working or intending to work in the areas of classical and the modern sequence space theory.
Author : Caradus
Publisher : Routledge
ISBN 13 : 1351462768
Total Pages : 135 pages
Book Rating : 4.61/5 ( download)
Download or read book Calkin Algebras and Algebras of Operators on Banach SPates written by Caradus and published by Routledge. This book was released on 2017-10-19 with total page 135 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the appearance of Banach algebra theory, the interaction between the theories ofBanach algebras with involution and that of bounded linear operators on a Hilbert space hasbeen extensively developed. The connections of Banach algebras with the theory ofbounded linear operators on a Hilbert space have also evolved, and Calkin Algebras andAlgebras of Operators on Banach Spaces provides an introduction to this set of ideas.The book begins with a treatment of the classical Riesz-Schauder theory which takesadvantage of the most recent developments-some of this material appears here for the firsttime. Although the reader should be familiar with the basics of functional analysis, anintroductory chapter on Banach algebras has been included. Other topics dealt with includeFredholm operators, semi-Fredholm operators, Riesz operators. and Calkin algebras.This volume will be of direct interest to both graduate students and research mathematicians.
Author : J. Lindenstrauss
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.79/5 ( download)
Download or read book Classical Banach Spaces. Pt. 1. Sequence Spaces written by J. Lindenstrauss and published by . This book was released on 1977 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Lindenstrauss
Publisher : Springer Science & Business Media
ISBN 13 : 3662353474
Total Pages : 253 pages
Book Rating : 4.79/5 ( download)
Download or read book Classical Banach Spaces II written by J. Lindenstrauss and published by Springer Science & Business Media. This book was released on 2013-12-11 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joram Lindenstrauss
Publisher : Springer
ISBN 13 : 9783540088882
Total Pages : 264 pages
Book Rating : 4.81/5 ( download)
Download or read book Classical Banach Spaces written by Joram Lindenstrauss and published by Springer. This book was released on 1977 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : J. Diestel
Publisher : Springer Science & Business Media
ISBN 13 : 1461252008
Total Pages : 273 pages
Book Rating : 4.09/5 ( download)
Download or read book Sequences and Series in Banach Spaces written by J. Diestel and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume presents answers to some natural questions of a general analytic character that arise in the theory of Banach spaces. I believe that altogether too many of the results presented herein are unknown to the active abstract analysts, and this is not as it should be. Banach space theory has much to offer the prac titioners of analysis; unfortunately, some of the general principles that motivate the theory and make accessible many of its stunning achievements are couched in the technical jargon of the area, thereby making it unapproachable to one unwilling to spend considerable time and effort in deciphering the jargon. With this in mind, I have concentrated on presenting what I believe are basic phenomena in Banach spaces that any analyst can appreciate, enjoy, and perhaps even use. The topics covered have at least one serious omission: the beautiful and powerful theory of type and cotype. To be quite frank, I could not say what I wanted to say about this subject without increasing the length of the text by at least 75 percent. Even then, the words would not have done as much good as the advice to seek out the rich Seminaire Maurey-Schwartz lecture notes, wherein the theory's development can be traced from its conception. Again, the treasured volumes of Lindenstrauss and Tzafriri also present much of the theory of type and cotype and are must reading for those really interested in Banach space theory.
