Derivations and projections on Jordan triples: An introduction to nonassociative algebra, continuous cohomology, and quantum functional analysis

DOI10.1142/9789814699693_0004zbMath1371.46004arXiv1206.0694OpenAlexW2963323922MaRDI QIDQ2832868

Bernard Russo

Publication date: 15 November 2016

Published in: Advanced Courses of Mathematical Analysis V (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0694

zbMATH Keywords

\(C^*\)-algebracomplete boundednessoperator space\(K\)-theorycontractive projectioninner derivationderivationJB\(^*\)-tripleJordan derivationtriple derivationlocal derivationJB-algebraholomorphic structurecomplete isometryTROunital operator algebraJB\(^*\)-algebraJBW\(^*\)-algebra\(\lambda\)-mixed injective operator spaceenveloping TRO

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Commutators, derivations, elementary operators, etc. (47B47) Methods of algebraic topology in functional analysis (cohomology, sheaf and bundle theory, etc.) (46M20) Research exposition (monographs, survey articles) pertaining to functional analysis (46-02) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70) Nonassociative nonselfadjoint operator algebras (47L70)

Related Items (2)

Derivations on ternary rings of operators ⋮ Cohomology of Jordan triples via Lie algebras

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