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Author : K. Floret
Publisher : Springer
ISBN 13 : 3540392831
Total Pages : 131 pages
Book Rating : 4.5/5 (43 download)
Download or read book Weakly Compact Sets written by K. Floret and published by Springer. This book was released on 2006-11-15 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : K. Floret
Publisher :
ISBN 13 : 9783662185087
Total Pages : 136 pages
Book Rating : 4.1/5 (85 download)
Download or read book Weakly Compact Sets written by K. Floret and published by . This book was released on 2014-01-15 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Fumi-yuki Maeda
Publisher :
ISBN 13 : 9780387099910
Total Pages : 178 pages
Book Rating : 4.0/5 (999 download)
Download or read book Etude géometrique des espaces vectoriels II written by Fumi-yuki Maeda and published by . This book was released on 1980 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Jürgen Voigt
Publisher : Springer Nature
ISBN 13 : 3030329453
Total Pages : 152 pages
Book Rating : 4.0/5 (33 download)
Download or read book A Course on Topological Vector Spaces written by Jürgen Voigt and published by Springer Nature. This book was released on 2020-03-06 with total page 152 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to the theory of topological vector spaces, with a focus on locally convex spaces. It discusses topologies in dual pairs, culminating in the Mackey-Arens theorem, and also examines the properties of the weak topology on Banach spaces, for instance Banach’s theorem on weak*-closed subspaces on the dual of a Banach space (alias the Krein-Smulian theorem), the Eberlein-Smulian theorem, Krein’s theorem on the closed convex hull of weakly compact sets in a Banach space, and the Dunford-Pettis theorem characterising weak compactness in L1-spaces. Lastly, it addresses topics such as the locally convex final topology, with the application to test functions D(Ω) and the space of distributions, and the Krein-Milman theorem. The book adopts an “economic” approach to interesting topics, and avoids exploring all the arising side topics. Written in a concise mathematical style, it is intended primarily for advanced graduate students with a background in elementary functional analysis, but is also useful as a reference text for established mathematicians.
Author : Klaus Floret
Publisher :
ISBN 13 :
Total Pages : 123 pages
Book Rating : 4.:/5 (11 download)
Download or read book Weakly Compact Sets written by Klaus Floret and published by . This book was released on 1980 with total page 123 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : John Alexopoulos
Publisher :
ISBN 13 :
Total Pages : 88 pages
Book Rating : 4.:/5 (273 download)
Download or read book Weakly Compact Sets in Banach Spaces written by John Alexopoulos and published by . This book was released on 1992 with total page 88 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Marian Fabian
Publisher : Springer Science & Business Media
ISBN 13 : 1475734808
Total Pages : 455 pages
Book Rating : 4.4/5 (757 download)
Download or read book Functional Analysis and Infinite-Dimensional Geometry written by Marian Fabian and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 455 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces the basic principles of functional analysis and areas of Banach space theory that are close to nonlinear analysis and topology. The text can be used in graduate courses or for independent study. It includes a large number of exercises of different levels of difficulty, accompanied by hints.
Author : D. Amir
Publisher :
ISBN 13 :
Total Pages : 17 pages
Book Rating : 4.:/5 (897 download)
Download or read book The Structure of Weakly Compact Sets in Banach Spaces written by D. Amir and published by . This book was released on 1967 with total page 17 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : H. J. K. Junnila
Publisher :
ISBN 13 :
Total Pages : 14 pages
Book Rating : 4.:/5 (897 download)
Download or read book Embeddings of Weakly Compact Sets and *-paired Banach Spaces written by H. J. K. Junnila and published by . This book was released on 1999 with total page 14 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Katrin Wehrheim
Publisher : European Mathematical Society
ISBN 13 : 9783037190043
Total Pages : 228 pages
Book Rating : 4.1/5 (9 download)
Download or read book Uhlenbeck Compactness written by Katrin Wehrheim and published by European Mathematical Society. This book was released on 2004 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a detailed account of the analytic foundations of gauge theory, namely, Uhlenbeck's compactness theorems for general connections and for Yang-Mills connections. It guides graduate students into the analysis of Yang-Mills theory as well as serves as a reference for researchers in the field. Largely self contained, the book contains a number of appendices (e.g., on Sobolev spaces of maps between manifolds) and an introductory part covering the $L^p$-regularity theory for the inhomogenous Neumann problem.
Author : A. Wayne Wymore
Publisher :
ISBN 13 :
Total Pages : 112 pages
Book Rating : 4.3/5 (91 download)
Download or read book On Weak Compactness in Functional Analysis written by A. Wayne Wymore and published by . This book was released on 1955 with total page 112 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : P. Wojtaszczyk
Publisher : Cambridge University Press
ISBN 13 : 9780521566759
Total Pages : 400 pages
Book Rating : 4.5/5 (667 download)
Download or read book Banach Spaces for Analysts written by P. Wojtaszczyk and published by Cambridge University Press. This book was released on 1996-08 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is intended to be used with graduate courses in Banach space theory.
Author : K. Kunen
Publisher : Elsevier
ISBN 13 : 148329515X
Total Pages : 1282 pages
Book Rating : 4.4/5 (832 download)
Download or read book Handbook of Set-Theoretic Topology written by K. Kunen and published by Elsevier. This book was released on 2014-06-28 with total page 1282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook is an introduction to set-theoretic topology for students in the field and for researchers in other areas for whom results in set-theoretic topology may be relevant. The aim of the editors has been to make it as self-contained as possible without repeating material which can easily be found in standard texts. The Handbook contains detailed proofs of core results, and references to the literature for peripheral results where space was insufficient. Included are many open problems of current interest.In general, the articles may be read in any order. In a few cases they occur in pairs, with the first one giving an elementary treatment of a subject and the second one more advanced results. These pairs are: Hodel and Juhász on cardinal functions; Roitman and Abraham-Todorčević on S- and L-spaces; Weiss and Baumgartner on versions of Martin's axiom; and Vaughan and Stephenson on compactness properties.
Author : J. Diestel
Publisher : Springer Science & Business Media
ISBN 13 : 1461252008
Total Pages : 273 pages
Book Rating : 4.4/5 (612 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.
Author : Serge Lang
Publisher : Springer Science & Business Media
ISBN 13 : 1461208971
Total Pages : 591 pages
Book Rating : 4.4/5 (612 download)
Download or read book Real and Functional Analysis written by Serge Lang and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is meant as a text for a first-year graduate course in analysis. In a sense, it covers the same topics as elementary calculus but treats them in a manner suitable for people who will be using it in further mathematical investigations. The organization avoids long chains of logical interdependence, so that chapters are mostly independent. This allows a course to omit material from some chapters without compromising the exposition of material from later chapters.
Author : S. Banach
Publisher : Elsevier
ISBN 13 : 0080887201
Total Pages : 249 pages
Book Rating : 4.0/5 (88 download)
Download or read book Theory of Linear Operations written by S. Banach and published by Elsevier. This book was released on 1987-03-01 with total page 249 pages. Available in PDF, EPUB and Kindle. Book excerpt: This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra.The book gathers results concerning linear operators defined in general spaces of a certain kind, principally in Banach spaces, examples of which are: the space of continuous functions, that of the pth-power-summable functions, Hilbert space, etc. The general theorems are interpreted in various mathematical areas, such as group theory, differential equations, integral equations, equations with infinitely many unknowns, functions of a real variable, summation methods and orthogonal series.A new fifty-page section (``Some Aspects of the Present Theory of Banach Spaces'') complements this important monograph.
Author : Robert E. Megginson
Publisher : Springer Science & Business Media
ISBN 13 : 1461206030
Total Pages : 613 pages
Book Rating : 4.4/5 (612 download)
Download or read book An Introduction to Banach Space Theory written by Robert E. Megginson and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: Preparing students for further study of both the classical works and current research, this is an accessible text for students who have had a course in real and complex analysis and understand the basic properties of L p spaces. It is sprinkled liberally with examples, historical notes, citations, and original sources, and over 450 exercises provide practice in the use of the results developed in the text through supplementary examples and counterexamples.
