The minimal operator module of a Banach module

DOI10.1017/S0013091500020113zbMath0932.46039MaRDI QIDQ4267554

Bojan Magajna

Publication date: 5 October 1999

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

zbMATH Keywords

von Neumann algebras\(C^*\)-algebrasessential Banach \(A,B\)-bimodulequotient of a normal operator module by a submodule

Mathematics Subject Classification ID

(C^*)-modules (46L08) General theory of von Neumann algebras (46L10) General theory of (C^*)-algebras (46L05) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25)

Related Items (4)

Unique pseudo-expectations for \(C^{*}\)-inclusions ⋮ \(C^*\)-convex sets and completely positive maps ⋮ Duality and operator algebras. I: Automatic weak\(^{\ast}\) continuity and applications ⋮ Duality and normal parts of operator modules

Cites Work

• A characterization of operator algebras
• The standard dual of an operator space
• Completely bounded multilinear maps and \(C^ *\)-algebraic cohomology
• Subspaces of \(C^ *\)-algebras
• Tensor products of operator spaces
• A topology for operator modules over \(W^*\)-algebras
• A completely bounded characterization of operator algebras
• Subalgebras of \(C^ *\)-algebras
• On the Abstract Characterization of Operator Spaces
• A theorem on operator algebras.
• Strong Operator Modules and the Haagerup Tensor Product
• Theory of operator algebras I.
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