Title: Jordan Triple Systems in Complex and Functional Analysis
Subjects: Mathematics, 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