M-Ideals in Banach Spaces and Banach Algebras

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...

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Hauptverfasser: Harmand, Peter, 1953-, Werner, Dirk, 1955- (VerfasserIn), Werner, Wend, 1958- (VerfasserIn)
Format: Livre numérique
Sprache:Anglais
Veröffentlicht: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Schriftenreihe:Lecture notes in mathematics 1547
Schlagworte:
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Edition sous un autre format:• M-ideals in Banach spaces and Banach algebras, P. Harmand, D. Werner, W. Werner, 1993, Berlin, Springer-Verlag, 1 volume (VIII-387 pages), Lecture notes in mathematics, 3-540-56814-X
• M-Ideals in Banach Spaces and Banach Algebras, Texte imprimé, 9783662165638
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100 1 |a Harmand, Peter,  |d 1953- 
245 1 0 |a M-Ideals in Banach Spaces and Banach Algebras   |c Peter Harmand, Dirk Werner, Wend Werner. 
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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. 
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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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700 1 |a Werner, Dirk,  |d 1955-  |4 aut 
700 1 |a Werner, Wend,  |d 1958-  |4 aut 
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