Function Representation of Commutative Operator Triple Systems

DOI10.1112/jlms/s2-27.3.513zbMath0543.46046OpenAlexW2147187807MaRDI QIDQ3331756

Bernard Russo, Yaakov Friedman

Publication date: 1983

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/s2-27.3.513

zbMATH Keywords

contractive projectionscommutative \(J^*\)-algebraStone-Weierstrass theoremsBanach-Stone type theoremsGelfand-Neumark representation theorem for associative Jordan triple systemsoperator triple system

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Banach algebras of continuous functions, function algebras (46J10) Jordan structures on Banach spaces and algebras (17C65) Commutative Banach algebras and commutative topological algebras (46J99) Subalgebras of commutative topological algebras (46J30)

Related Items (7)

On JB\(^*\)-triples defined by fibre bundles ⋮ Automatic continuity of derivations on \(C^\ast\)-algebras and \(JB^\ast\)-triples ⋮ Exploring new solutions to Tingley’s problem for function algebras ⋮ Estimations of the numerical index of a JB*-triple ⋮ Affine geometric proofs of the Banach Stone theorems of Kadison and Kaup ⋮ Geometrical properties of subclasses of complex \(L_ 1\)-preduals ⋮ Real Banach Jordan Triples

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