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Jordan triple systems in complex and functional analysis /

This book is a systematic account of the impressive developments in the theory of symmetric manifolds achieved over the past 50 years. It contains detailed and friendly, but rigorous, proofs of the key results in the theory. Milestones are the study of the group of holomomorphic automorphisms of bou...

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Bibliographic Details
Main Author: Isidro, José M. (Author)
Corporate Author: Real Sociedad Matemática Española
Format: Book
Language:English
Published: [Providence, Rhode Island] : American Mathematical Society, [2019]
Series:Mathematical surveys and monographs ; no. 243.
Subjects:
Jordan algebras.
Lie algebras.
Hermitian symmetric spaces.
Functional analysis.
Functional analysis > Measures, integration, derivative, holomorphy (all involving infinite-dimensional spaces) > Infinite-dimensional holomorphy.
Global analysis, analysis on manifolds > Infinite-dimensional manifolds > Questions of holomorphy.
Differential geometry > Global differential geometry > Symmetric spaces.
Several complex variables and analytic spaces > Complex spaces with a group of automorphisms > Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras.
Nonassociative rings and algebras > Jordan algebras (algebras, triples and pairs) > Jordan structures on Banach spaces and algebras.
Manifolds and cell complexes > Topological transformation groups > Noncompact Lie groups of transformations.
Topological groups, Lie groups > Lie groups > Infinite-dimensional Lie groups and their Lie algebras: general properties.
Nonassociative rings and algebras > Lie algebras and Lie superalgebras > Infinite-dimensional Lie (super)algebras.
Functional analysis > Normed linear spaces and Banach spaces; Banach lattices > Geometry and structure of normed linear spaces.
Global analysis, analysis on manifolds > Infinite-dimensional manifolds > Group structures and generalizations on infinite-dimensional manifolds.

Evans: Library Stacks

Holdings details from Evans: Library Stacks
Call Number: QA252.5 .I85 2019
 
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QA252.5 .I85 2019 Available