A Characterization of Nonunital Operator Algebras

DOI10.2307/2160382zbMath0816.47049OpenAlexW4241880294MaRDI QIDQ4299243

Zhong-Jin Ruan

Publication date: 14 August 1994

Full work available at URL: https://doi.org/10.2307/2160382

zbMATH Keywords

operator algebras with contractive approximate identities\(L^ \infty\)-Banach pseudoalgebraabstract matrix norm characterizationBlecher-Ruan-Sinclair characterizationnondegenerate operator algebrasecond dual approach

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) General theory of topological algebras (46H05) Linear spaces of operators (47L05)

Related Items (2)

A completely bounded characterization of operator algebras ⋮ Quasi-multipliers and algebrizations of an operator space

Cites Work

• A characterization of operator algebras
• The standard dual of an operator space
• Representations of completely bounded multilinear operators
• Multilinear maps and tensor norms on operator systems
• Subspaces of \(C^ *\)-algebras
• Tensor products of operator spaces
• A New Approach to Operator Spaces
• Operator Algebras with Contractive Approximate Identities
• The Adjoint of a Bilinear Operation

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