Jordan Triple Systems in Complex and Functional Analysis

DOI10.1090/surv/243zbMath1447.46002OpenAlexW3015810220MaRDI QIDQ5213696

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Publication date: 4 February 2020

Published in: Mathematical Surveys and Monographs (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/surv/243

zbMATH Keywords

\(JB^*\)-triplesJordan triple systems\(M\)-idealscomplex symmetric manifolds

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Infinite-dimensional Lie (super)algebras (17B65) Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects) (32M15) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Differential geometry of symmetric spaces (53C35) Isometric theory of Banach spaces (46B04) Group structures and generalizations on infinite-dimensional manifolds (58B25) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70) Noncompact Lie groups of transformations (57S20) Questions of holomorphy and infinite-dimensional manifolds (58B12)

Related Items (6)

On the derivations of the quadratic Jordan product in classical finite dimensional Cartan factors ⋮ The extension of cochain complexes of meromorphic functions to multiplications ⋮ Contractively decomposable projections on noncommutative \(\mathrm{L}^p\)-spaces ⋮ Ternary operator categories ⋮ Jordan *-triple derivations on the exceptional Cartan factors ⋮ On derivations of the Jordan triple product in classical Cartan factors

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