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• catalog abstract "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.".
• catalog contributor b4962558.
• catalog contributor b4962559.
• catalog contributor b4962560.
• catalog created "c1993.".
• catalog date "1993".
• catalog date "c1993.".
• catalog dateCopyrighted "c1993.".
• catalog description "I. Basic theory of M-ideals. I.1. Fundamental properties. I.2. Characterisation theorems. I.3. The centralizer of a Banach space -- II. Geometric properties of M-ideals. II. 1. M-ideals and best approximation. II. 2. Linear projections onto M-ideals. II. 3. Proper M-ideals. II. 4. The intersection property IP. II. 5. L[superscript 1]-preduals and M-ideals -- III. Banach spaces which are M-ideals in their biduals. III. 1. Examples and stability properties. III. 2. Isometric properties. III. 3. Isomorphic properties. III. 4. Projectional resolutions of the identity in M-embedded spaces -- IV. Banach spaces which are L-summands in their biduals. IV. 1. Basic properties. IV. 2. Banach space properties of L-embedded spaces. IV. 3. Subspaces of [actual symbol not reproducible] which are L-summands in their biduals. IV. 4. Relations with abstract harmonic analysis -- V. M-ideals in Banach algebras. V.2. The general case of unital algebras. V.3. Inner M-ideals. V.4. Commutative and C*-algebras.".
• catalog description "Includes bibliographical references and index.".
• catalog description "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.".
• catalog extent "viii, 387 p. ;".
• catalog hasFormat "M-ideals in Banach spaces and Banach algebras.".
• catalog identifier "0387566740 (New York : pbk. : acid-free)".
• catalog identifier "354056814X (Berlin : pbk.: acid-free) :".
• catalog isFormatOf "M-ideals in Banach spaces and Banach algebras.".
• catalog isPartOf "Lecture notes in mathematics (Springer-Verlag) ; 1547.".
• catalog isPartOf "Lecture notes in mathematics ; 1547".
• catalog issued "1993".
• catalog issued "c1993.".
• catalog language "eng".
• catalog publisher "Berlin ; New York : Springer-Verlag,".
• catalog relation "M-ideals in Banach spaces and Banach algebras.".
• catalog subject "510 s 515/.732 20".
• catalog subject "Approximation theory.".
• catalog subject "Banach spaces.".
• catalog subject "Global analysis (Mathematics).".
• catalog subject "Ideals (Algebra)".
• catalog subject "Mathematics.".
• catalog subject "QA3 .L28 no. 1547 QA326".
• catalog tableOfContents "I. Basic theory of M-ideals. I.1. Fundamental properties. I.2. Characterisation theorems. I.3. The centralizer of a Banach space -- II. Geometric properties of M-ideals. II. 1. M-ideals and best approximation. II. 2. Linear projections onto M-ideals. II. 3. Proper M-ideals. II. 4. The intersection property IP. II. 5. L[superscript 1]-preduals and M-ideals -- III. Banach spaces which are M-ideals in their biduals. III. 1. Examples and stability properties. III. 2. Isometric properties. III. 3. Isomorphic properties. III. 4. Projectional resolutions of the identity in M-embedded spaces -- IV. Banach spaces which are L-summands in their biduals. IV. 1. Basic properties. IV. 2. Banach space properties of L-embedded spaces. IV. 3. Subspaces of [actual symbol not reproducible] which are L-summands in their biduals. IV. 4. Relations with abstract harmonic analysis -- V. M-ideals in Banach algebras. V.2. The general case of unital algebras. V.3. Inner M-ideals. V.4. Commutative and C*-algebras.".
• catalog title "M-ideals in Banach spaces and Banach algebras / P. Harmand, D. Werner, W. Werner.".
• catalog type "text".