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Author : J. Diestel
Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 134/5 ( reviews)
Book Synopsis Geometry of Banach Spaces - Selected Topics by : J. Diestel
Download or read book Geometry of Banach Spaces - Selected Topics written by J. Diestel. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Diestel
Release : 1975
Genre : Banach spaces
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Geometry of Banach Spaces by : Joseph Diestel
Download or read book Geometry of Banach Spaces written by Joseph Diestel. This book was released on 1975. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Joseph Diestel
Release : 1975
Genre :
Kind : eBook
Book Rating : /5 ( reviews)
Book Synopsis Geometry of Banach spaces-selected topics by : Joseph Diestel
Download or read book Geometry of Banach spaces-selected topics written by Joseph Diestel. This book was released on 1975. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Pandelis Dodos
Release : 2010-04-15
Genre : Mathematics
Kind : eBook
Book Rating : 535/5 ( reviews)
Book Synopsis Banach Spaces and Descriptive Set Theory: Selected Topics by : Pandelis Dodos
Download or read book Banach Spaces and Descriptive Set Theory: Selected Topics written by Pandelis Dodos. This book was released on 2010-04-15. Available in PDF, EPUB and Kindle. Book excerpt: These notes are devoted to the study of some classical problems in the Geometry of Banach spaces. The novelty lies in the fact that their solution relies heavily on techniques coming from Descriptive Set Theory. Thecentralthemeisuniversalityproblems.Inparticular,thetextprovides an exposition of the methods developed recently in order to treat questions of the following type: (Q) LetC be a class of separable Banach spaces such that every space X in the classC has a certain property, say property (P). When can we ?nd a separable Banach space Y which has property (P) and contains an isomorphic copy of every member ofC? We will consider quite classical properties of Banach spaces, such as “- ing re?exive,” “having separable dual,” “not containing an isomorphic copy of c ,” “being non-universal,” etc. 0 It turns out that a positive answer to problem (Q), for any of the above mentioned properties, is possible if (and essentially only if) the classC is “simple.” The “simplicity” ofC is measured in set theoretic terms. Precisely, if the classC is analytic in a natural “coding” of separable Banach spaces, then we can indeed ?nd a separable space Y which is universal for the class C and satis?es the requirements imposed above.
Author :
Release : 2001-08-15
Genre : Mathematics
Kind : eBook
Book Rating : 802/5 ( reviews)
Book Synopsis Handbook of the Geometry of Banach Spaces by :
Download or read book Handbook of the Geometry of Banach Spaces written by . This book was released on 2001-08-15. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook presents an overview of most aspects of modernBanach space theory and its applications. The up-to-date surveys, authored by leading research workers in the area, are written to be accessible to a wide audience. In addition to presenting the state of the art of Banach space theory, the surveys discuss the relation of the subject with such areas as harmonic analysis, complex analysis, classical convexity, probability theory, operator theory, combinatorics, logic, geometric measure theory, and partial differential equations. The Handbook begins with a chapter on basic concepts in Banachspace theory which contains all the background needed for reading any other chapter in the Handbook. Each of the twenty one articles in this volume after the basic concepts chapter is devoted to one specific direction of Banach space theory or its applications. Each article contains a motivated introduction as well as an exposition of the main results, methods, and open problems in its specific direction. Most have an extensive bibliography. Many articles contain new proofs of known results as well as expositions of proofs which are hard to locate in the literature or are only outlined in the original research papers. As well as being valuable to experienced researchers in Banach space theory, the Handbook should be an outstanding source for inspiration and information to graduate students and beginning researchers. The Handbook will be useful for mathematicians who want to get an idea of the various developments in Banach space theory.
