M-ideals in Banach spaces and Banach algebras /

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Bibliographic Details
Author / Creator:Harmand, P. (Peter), 1953-
Imprint:Berlin ; New York : Springer-Verlag, ©1993.
Description:1 online resource (viii, 387 pages).
Language:English
Series:Lecture notes in mathematics ; 1547
Lecture notes in mathematics (Springer-Verlag) ; 1547.
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/11074368
Hidden Bibliographic Details
Other authors / contributors:Werner, D. (Dirk), 1955-
Werner, W. (Wend), 1958-
ISBN:9783540477532
3540477535
354056814X
9783540568148
0387566740
9780387566740
038756814X
9780387568140
Notes:Includes bibliographical references and index.
Restrictions unspecified
Electronic reproduction. [S.l.] : HathiTrust Digital Library, 2010.
Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002. http://purl.oclc.org/DLF/benchrepro0212
digitized 2010 HathiTrust Digital Library committed to preserve
Print version record.
Summary:This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included.
Other form:Print version: Harmand, P. (Peter), 1953- M-ideals in Banach spaces and Banach algebras. Berlin ; New York : Springer-Verlag, ©1993

MARC

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245 1 0 |a M-ideals in Banach spaces and Banach algebras /  |c P. Harmand, D. Werner, W. Werner. 
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300 |a 1 online resource (viii, 387 pages). 
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490 1 |a Lecture notes in mathematics ;  |v 1547 
504 |a Includes bibliographical references and index. 
520 |a This book provides a comprehensive exposition of M-ideal theory, a branch ofgeometric functional analysis which deals with certain subspaces of Banach spaces arising naturally in many contexts. Starting from the basic definitions the authors discuss a number of examples of M-ideals (e.g. the closed two-sided ideals of C*-algebras) and develop their general theory. Besides, applications to problems from a variety of areas including approximation theory, harmonic analysis, C*-algebra theory and Banach space geometry are presented. The book is mainly intended as a reference volume for researchers working in one of these fields, but it also addresses students at the graduate or postgraduate level. Each of its six chapters is accompanied by a Notes-and-Remarks section which explores further ramifications of the subject and gives detailed references to the literature. An extensive bibliography is included. 
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505 0 |a Basic theory of M-ideals -- Geometric properties of M-ideals -- Banach spaces which are M-ideals in their biduals -- Banach spaces which are L-summands in their biduals -- M-ideals in Banach algebras -- M-ideals in spaces of bounded operators. 
650 0 |a Banach spaces.  |0 http://id.loc.gov/authorities/subjects/sh85011441 
650 0 |a Ideals (Algebra)  |0 http://id.loc.gov/authorities/subjects/sh85064134 
650 0 |a Approximation theory.  |0 http://id.loc.gov/authorities/subjects/sh85006190 
650 4 |a Espace Banach. 
650 4 |a Algèbre Banach. 
650 4 |a M-idéal. 
650 4 |a Théorie approximation. 
650 6 |a Banach, Espaces de. 
650 6 |a Idéaux (Algèbre) 
650 6 |a Approximation, Théorie de l' 
650 7 |a Approximation theory.  |2 fast  |0 (OCoLC)fst00811829 
650 7 |a Banach spaces.  |2 fast  |0 (OCoLC)fst00826389 
650 7 |a Ideals (Algebra)  |2 fast  |0 (OCoLC)fst00966851 
650 1 7 |a Functionaalanalyse.  |2 gtt 
650 1 7 |a Banachruimten.  |2 gtt 
650 7 |a Banach, Algèbres de.  |2 ram 
650 7 |a Banach, Espaces de.  |2 ram 
650 7 |a Idéaux (algèbre)  |2 ram 
650 7 |a Approximation, Théorie de l'.  |2 ram 
650 0 7 |a Banach-Algebra.  |2 swd 
650 0 7 |a Banach-Raum.  |2 swd 
650 0 7 |a M-Ideal.  |2 swd 
655 4 |a Electronic books. 
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