Self-duality for the Haagerup tensor product and Hilbert space factorizations

DOI10.1016/0022-1236(91)90111-HzbMath0761.47022MaRDI QIDQ1178603

Edward G. Effros, Zhong-Jin Ruan

Publication date: 26 June 1992

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

zbMATH Keywords

operator spaceoperator normsrectangular matricesmatrix spacecomplete isometrycompletely bounded operatorscompletely isometric operator spacesdual operator norm structureHaagerup operator normsprojective and spatial tensor productsspace of 2-summing linear maps of Banach spacessystems of norms

Mathematics Subject Classification ID

General theory of von Neumann algebras (46L10) Linear spaces of operators (47L05) Tensor products in functional analysis (46M05)

Related Items

On factorization of separating maps on noncommutative L^p-spaces, The “maximal” tensor product of operator spaces, Analytic factorizations and completely bounded maps, The Fourier algebra of a measured groupoid and its multipliers, An operator space approach to condition \(C\), Factorizations in universal operator spaces and algebras, A completely bounded characterization of operator algebras, Multiplicativity of completely bounded \(p\)-norms implies a new additivity result, Matrix regular operator spaces, Haagerup tensor product of \(C^\ast\)-ternary rings, Completely bounded Banach-Mazur distance, A remark on the tensor product of two maximal operator spaces, Canonical operator space structures on non-commutative \(L^p\) spaces, On some “stability” properties of the full C*-algebra associated to the free group F_∞, The maximal operator space of a normed space, Representations of logmodular algebras, The Effros-Ruan conjecture for bilinear forms on \(C^{*}\)-algebras, Equivalence of norms on operator space tensor products of $C^\ast $-algebras, Operator space tensor products of \(C^*\)-algebras, Duality and normal parts of operator modules, Noncommutative reproducing kernel Hilbert spaces, Some operator ideals in non-commutative functional analysis, A topology for operator modules over \(W^*\)-algebras, Applications of operator spaces to abstract harmonic analysis., Operator-space Grothendieck inequalities for noncommutative \(L_p\)-spaces

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