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Symmetric Banach manifolds and Jordan C*-algebras /

This book links two of the most active research areas in present day mathematics, namely Infinite Dimensional Holomorphy (on Banach spaces) and the theory of Operator Algebras (C*-Algebras and their non-associative generalizations, the Jordan C*-Algebras). It organizes in a systematic way a wealth o...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Upmeier, Harald, 1950-
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Amsterdam ; New York : New York, N.Y., U.S.A. : North-Holland ; Sole distributors for the U.S.A. and Canada, Elsevier Science Pub. Co., 1985.
Colección:North-Holland mathematics studies ; 104.
Notas de matem�atica (Rio de Janeiro, Brazil) ; no. 96.
Temas:
Acceso en línea:Texto completo
Texto completo
Texto completo
Tabla de Contenidos:
  • Part 1 : Banach manifolds and transformation groups. Analytic mappings on Banach spaces ; Banach algebras ; Banach manifolds ; Analytic vector fields ; Integration of vector fields ; Banach Lie groups ; Integration of Lie algebra actions ; Binary Banach Lie algebras ; Locally uniform transformation groups ; Analytic transformation groups ; Metric and normed Banach manifolds ; Groups of holomorphic isometries
  • Part 2 : Symmetric manifolds and Jordan algebraic structures. Order unit Banach spaces ; C*-algebras ; Tube domains and Siegel domains ; Symmetric Banach manifolds ; Jordan triple systems ; Jordan algebras ; Bounded symmetric domains and JB*-triples ; Symmetric Siegel domains ; Jordan automorphism groups ; Classical Banach manifolds.