Completely Bounded Isomorphisms of Injective Operator Systems

DOI10.1112/BLMS/21.3.285zbMath0691.46038OpenAlexW2054206410WikidataQ114077880 ScholiaQ114077880MaRDI QIDQ3032816

Simon Wassermann, A. Guyan Robertson

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1112/blms/21.3.285

zbMATH Keywords

any infinite dimensional injective operator system on a separable Hilbert space is completely boundedly isomorphic to either B(H) or \(\ell ^{\infty }\)AW*-algebras which have the approximation property

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Classifications of (C^*)-algebras (46L35)

Related Items (7)

Injective matricial Hilbert spaces ⋮ Contractive projections and operator spaces ⋮ Seemingly injective von Neumann algebras ⋮ Completely bounded isomorphisms of operator algebras ⋮ Completely bounded isomorphisms of injective von Neumann algebras ⋮ The slice map problem and approximation properties ⋮ A continuity theorem for Stinespring's dilation

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