| Description |
1 online resource (760 pages) |
| Series |
Encyclopedia of Mathematics and its Applications ; v. 167 |
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Encyclopedia of mathematics and its applications.
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| Contents |
880-01 Cover; Half-title; Series information; Title page; Copyright information; Dedication; Contents for volume 2; Contents for volume 1; Preface; 5 Non-commutative JBW*-algebras, JB*-triples revisited, and a unit-free Vidav-Palmer type non-associative theorem; 5.1 Non-commutative JBW*-algebras; 5.1.1 The results; 5.1.2 Historical notes and comments; 5.2 Preliminaries on analytic mappings; 5.2.1 Polynomials and higher derivatives; 5.2.2 Analytic mappings on Banach spaces; 5.2.3 Holomorphic mappings; 5.2.4 Historical notes and comments; 5.3 Holomorphic automorphisms of a bounded domain |
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880-01/(S 5.3.1 The topology of the local uniform convergence5.3.2 Holomorphic automorphisms of a bounded domain; 5.3.3 The Carathéodory distance on a bounded domain; 5.3.4 Historical notes and comments; 5.4 Complete holomorphic vector fields; 5.4.1 Locally Lipschitz vector fields; 5.4.2 Holomorphic vector fields; 5.4.3 Complete holomorphic vector fields and one-parameter groups; 5.4.4 Historical notes and comments; 5.5 Banach Lie structures for aut(Ω) and Aut(Ω); 5.5.1 The real Banach Lie algebra aut(Ω); 5.5.2 The real Banach Lie group Aut(Ω); 5.5.3 Historical notes and comments |
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5.6 Kaup's holomorphic characterization of JB*-triples5.6.1 Bounded circular domains; 5.6.2 The symmetric part of a complex Banach space; 5.6.3 Numerical ranges revisited; 5.6.4 Concluding the proof of Kaup's theorem; 5.6.5 Historical notes and comments; 5.7 JBW*-triples; 5.7.1 The bidual of a JB*-triple; 5.7.2 The main results; 5.7.3 Historical notes and comments; 5.8 Operators into the predual of a JBW*-triple; 5.8.1 On Pełczyński's property (V*); 5.8.2 L-embedded spaces have property (V*); 5.8.3 Applications to JB*-triples; 5.8.4 Historical notes and comments |
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5.9 A holomorphic characterization of non-commutative JB*-algebras5.9.1 Complete normed algebras whose biduals are non-commutative JB*-algebras; 5.9.2 The main result; 5.9.3 Historical notes and comments; 5.10 Complements on non-commutative JB*-algebras and JB*-triples; 5.10.1 Selected topics in the theory of non-commutative JBW*-algebras; 5.10.2 The strong* topology of a JBW*-triple; 5.10.3 Isometries of non-commutative JB*-algebras; 5.10.4 Historical notes and comments; 6 Representation theory for non-commutative JB*-algebras and alternative C*-algebras; 6.1 The main results |
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6.1.1 Factor representations of non-commutative JB*-algebras6.1.2 Associativity and commutativity of non-commutative JB*-algebras; 6.1.3 JBW*-factors; 6.1.4 Classifying prime JB*-algebras: a Zel'manovian approach; 6.1.5 Prime non-commutative JB*-algebras are centrally closed; 6.1.6 Non-commutative JBW*-factors and alternative W*-factors; 6.1.7 Historical notes and comments; 6.2 Applications of the representation theory; 6.2.1 Alternative C*- and W*-algebras; 6.2.2 The strong topology of a non-commutative JBW*-algebra; 6.2.3 Prime non-commutative JB*-algebras |
| Summary |
The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource |
| Notes |
6.2.4 Historical notes and comments |
| Bibliography |
Includes bibliographical references and indexes |
| Notes |
Print version record |
| Subject |
Banach algebras.
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Algebra.
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algebra.
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MATHEMATICS -- Algebra -- Intermediate.
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Algebra
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Banach algebras
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| Form |
Electronic book
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| Author |
Rodríguez Palacios, Ángel
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| ISBN |
9781108631433 |
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1108631436 |
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