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Handbook of the geometry of Banach spaces

Record Type:	Electronic resources : Monograph/item
Title/Author:	Handbook of the geometry of Banach spaces/ edited by W.B. Johnson, J. Lindenstrauss.
other author:	Johnson, W. B.
Published:	Amsterdam ;Elsevier, : 2001-2003.,
Description:	2 v. (ix, 1866 p.) ;25 cm.;
Subject:	Banach spaces. -
Online resource:	An electronic book accessible through the World Wide Web; click for information
ISBN:	9780444828422

Handbook of the geometry of Banach spaces
Handbook of the geometry of Banach spaces[electronic resource] /edited by W.B. Johnson, J. Lindenstrauss. - 1st ed. - Amsterdam ;Elsevier,2001-2003. - 2 v. (ix, 1866 p.) ;25 cm.

Includes bibliographical references and indexes.

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.

Electronic reproduction.
Amsterdam :
Elsevier Science & Technology,
2007.

Mode of access: World Wide Web.

ISBN: 9780444828422

Source: 129957:130208Elsevier Science & Technologyhttp://www.sciencedirect.comSubjects--Topical Terms:

128830
Banach spaces.
Index Terms--Genre/Form:

96803
Electronic books.

LC Class. No.: QA322.2 / .H36 2001eb

Dewey Class. No.: 515/.732

Handbook of the geometry of Banach spaces
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300 $a 2 v. (ix, 1866 p.) ; $c 25 cm.
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520 $a 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.
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