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Non-Associative Normed Algebras.
The first systematic account of the basic theory of normed algebras, without assuming associativity. Sure to become a central resource.
| Clasificación: | Libro Electrónico |
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| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Cambridge :
Cambridge University Press,
2018.
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| Colección: | Encyclopedia of mathematics and its applications.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- 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.
- 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.
- 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.
- 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.