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Author: Dick Dulst
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 178
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Book Description
Author: Dick Dulst
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 178
Get Book Here
Book Description
Author: Dick Dulst
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 163
Get Book Here
Book Description
Author: Dick Dulst
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 163
Get Book Here
Book Description
Author: Dick Dulst
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 163
Get Book Here
Book Description
Author: J. Diestel
Publisher: Springer Science & Business Media
ISBN: 1461252008
Category : Mathematics
Languages : en
Pages : 273
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Book Description
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: Daniel Li
Publisher: Cambridge University Press
ISBN: 110829815X
Category : Mathematics
Languages : en
Pages : 463
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Book Description
This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference volume for researchers in analysis. Volume 1 covers the basics of Banach space theory, operatory theory in Banach spaces, harmonic analysis and probability. The authors also provide an annex devoted to compact Abelian groups. Volume 2 focuses on applications of the tools presented in the first volume, including Dvoretzky's theorem, spaces without the approximation property, Gaussian processes, and more. In volume 2, four leading experts also provide surveys outlining major developments in the field since the publication of the original French edition.
Author: Spiros Argyros
Publisher: American Mathematical Soc.
ISBN: 0821835211
Category : Mathematics
Languages : en
Pages : 128
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Book Description
A general method producing Hereditarily Indecomposable (H I) Banach spaces is provided. We apply this method to construct a nonseparable H I Banach space $Y$. This space is the dual, as well as the second dual, of a separable H I Banach space.
Author: Jesus M.F. Castillo
Publisher: Springer
ISBN: 3540695192
Category : Mathematics
Languages : en
Pages : 280
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Book Description
This book on Banach space theory focuses on what have been called three-space problems. It contains a fairly complete description of ideas, methods, results and counterexamples. It can be considered self-contained, beyond a course in functional analysis and some familiarity with modern Banach space methods. It will be of interest to researchers for its methods and open problems, and to students for the exposition of techniques and examples.
Author: Daniel Li
Publisher: Cambridge University Press
ISBN: 1107160510
Category : Mathematics
Languages : en
Pages : 463
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Book Description
This first volume of a two-volume overview covers the basic theory of Banach spaces, harmonic analysis and probability.
Author: Pandelis Dodos
Publisher: Springer Science & Business Media
ISBN: 3642121527
Category : Mathematics
Languages : en
Pages : 180
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Book Description
This volume deals with problems in the structure theory of separable infinite-dimensional Banach spaces, with a central focus on universality problems. This topic goes back to the beginnings of the field and appears in Banach's classical monograph. The novelty of the approach lies in the fact that the answers to a number of basic questions are based on techniques from Descriptive Set Theory. Although the book is oriented on proofs of several structural theorems, in the main text readers will also find a detailed exposition of numerous “intermediate” results which are interesting in their own right and have proven to be useful in other areas of Functional Analysis. Moreover, several well-known results in the geometry of Banach spaces are presented from a modern perspective.
