The Haagerup norm on the tensor product of operator modules

DOI10.1006/jfan.1995.1053zbMath0828.46048OpenAlexW1979529801MaRDI QIDQ1891828

Bojan Magajna

Publication date: 14 June 1995

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1995.1053

zbMATH Keywords

von Neumann algebrainjectivecompletely bounded normcentral Haagerup tensor productelementary operator on a prime \(C^*\)-algebraHaagerup norm on the tensor product of submodules

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Commutators, derivations, elementary operators, etc. (47B47) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Tensor products in functional analysis (46M05)

Related Items (14)

Cones of completely bounded maps ⋮ \(C^*\)-convex sets and completely positive maps ⋮ On the norm of symmetrised two-sided multiplications ⋮ On the Range Inclusion for Normal Derivations on C*-algebras ⋮ Approximation of Maps on C*-algebras by Completely Contractive Elementary Operators ⋮ Variance of operators and derivations ⋮ A factorization problem for normal completely bounded mappings ⋮ Duality and normal parts of operator modules ⋮ Free transport for convex potentials ⋮ Interpolation norms between row and column spaces and the norm problem for elementary operators ⋮ A topology for operator modules over \(W^*\)-algebras ⋮ The norm of a symmetric elementary operator ⋮ Fixed points of normal completely positive maps on B\((\mathcal H)\) ⋮ The Apostol-Fialkow formula for elementary operators on Banach spaces

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