Geometrical Characterizations of Biorthogonal Basis Systems in a Banach Space PDF Download

Author: R. E. Fullerton
Publisher:
ISBN:
Category : Banach spaces
Languages : en
Pages : 48

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Author: Petr Hajek
Publisher: Springer Science & Business Media
ISBN: 038768915X
Category : Mathematics
Languages : en
Pages : 339

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Book Description
This book introduces the reader to some of the basic concepts, results and applications of biorthogonal systems in infinite dimensional geometry of Banach spaces, and in topology and nonlinear analysis in Banach spaces. It achieves this in a manner accessible to graduate students and researchers who have a foundation in Banach space theory. The authors have included numerous exercises, as well as open problems that point to possible directions of research.

Author: William B. Johnson
Publisher: Elsevier
ISBN: 9780444513052
Category : Banach spaces
Languages : en
Pages : 880

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Book Description
The Handbook presents an overview of most aspects of modern Banach 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 Banach space 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.

Author:
Publisher: Elsevier
ISBN: 9780080533506
Category : Mathematics
Languages : en
Pages : 870

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Handbook of the Geometry of Banach Spaces

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1508

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Author: Gilles Godefroy
Publisher: American Mathematical Society
ISBN: 1470475707
Category : Mathematics
Languages : en
Pages : 358

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This book provides a comprehensive presentation of recent approaches to and results about properties of various classes of functional spaces, such as Banach spaces, uniformly convex spaces, function spaces, and Banach algebras. Each of the 12 articles in this book gives a broad overview of current subjects and presents open problems. Each article includes an extensive bibliography. This book is dedicated to Professor Per. H. Enflo, who made significant contributions to functional analysis and operator theory.

Author:
Publisher:
ISBN:
Category : Aeronautics
Languages : en
Pages : 1134

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Author: Library of Congress. Science and Technology Division
Publisher:
ISBN:
Category : Military research
Languages : en
Pages : 1130

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Author: Library of Congress. Science and Technology Division
Publisher:
ISBN:
Category : Military research
Languages : en
Pages : 1130

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Author: United States. Air Force. Office of Scientific Research
Publisher:
ISBN:
Category : Research
Languages : en
Pages : 1136

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