Factorization through matrix spaces for finite rank operators between \(C^*\)-algebras

DOI10.1215/S0012-7094-99-10011-1zbMath0947.46053OpenAlexW2044369950MaRDI QIDQ1974961

Christian Le Merdy, Marius Junge

Publication date: 27 March 2000

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1215/s0012-7094-99-10011-1

zbMATH Keywords

completely bounded normfactorization resultsfinite rank bounded operatorHaagerup decomposable norm

Mathematics Subject Classification ID

Selfadjoint operator algebras ((C^*)-algebras, von Neumann ((W^*)-) algebras, etc.) (46L99) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Spaces of linear operators; topological tensor products; approximation properties (46A32) Tensor products of (C^*)-algebras (46L06) Transformers, preservers (linear operators on spaces of linear operators) (47B49) Linear spaces and algebras of operators (47L99)

Related Items (7)

Seemingly injective von Neumann algebras ⋮ A Hilbert module approach to the Haagerup property ⋮ The predual of the space of decomposable maps from a \(C^{\ast}\)-algebra into a von Neumann algebra ⋮ A factorization problem for normal completely bounded mappings ⋮ Finite rank approximation and semidiscreteness for linear operators ⋮ Pointwise approximation by elementary complete contractions ⋮ Local properties of ternary rings of operators and their linking \(C^{*}\)-algebras

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