Representation of contractively complemented Hilbertian operator spaces on the Fock space

DOI10.1090/S0002-9939-05-08130-XzbMath1089.46034arXivmath/0410337OpenAlexW1987709535MaRDI QIDQ5705557

Bernard Russo, Matthew Neal

Publication date: 9 November 2005

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

Full work available at URL: https://arxiv.org/abs/math/0410337

zbMATH Keywords

\(C^*\)-algebrasFock spaces\(JB^*\)-triplesoperator spacescontractive projections

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) General theory of (C^*)-algebras (46L05) Operator spaces (= matricially normed spaces) (47L25) Jordan structures on Banach spaces and algebras (17C65) Nonassociative selfadjoint operator algebras (46L70)

Related Items (4)

Operator space structure of \(JC^*\)-triples and TROs. I ⋮ Classification of contractively complemented Hilbertian operator spaces ⋮ Completely 1-complemented subspaces of Schatten spaces ⋮ A K-theoretic approach to the classification of symmetric spaces

Cites Work

• Solution of the contractive projection problem
• Injective matricial Hilbert spaces
• Contractive projections in 𝐶₁ and 𝐶_{∞}
• Characterizations of Row and Column Hilbert Space
• Completely bounded Banach-Mazur distance
• Contractive projections and operator spaces
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