Multipliers on matrix ordered operator spaces and some K-groups.

DOI10.1016/J.JFA.2003.05.001zbMath1064.46045OpenAlexW2083458672MaRDI QIDQ1423435

Wend Werner

Publication date: 14 February 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.05.001

zbMATH Keywords

multiplierscomplete positivity\(K\)-groupsunitizationoperator spacesmatrix orderingorder unitC\(^*\)-envelopes

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Noncommutative function spaces (46L52) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Convex sets and cones of operators (47L07) Linear spaces of operators (47L05) Ordered normed spaces (46B40) Dual spaces of operator algebras (47L50)

Related Items (11)

Non-unital operator systems that are dual spaces ⋮ Applications of model theory to \(C^*\)-dynamics ⋮ Ordered involutive operator spaces ⋮ Unbounded multipliers on operator spaces ⋮ Possibly non-unital operator system structures on a possibly non-unital function system ⋮ Tensor products for non-unital operator systems ⋮ Dual spaces of operator systems ⋮ Quantization of A_0(K)-Spaces ⋮ Continuous model theories for von Neumann algebras ⋮ Completely positive matrix numerical index on matrix regular operator spaces ⋮ QUOTIENT AND PSEUDO UNIT IN NONUNITAL OPERATOR SYSTEM

Cites Work

• Multipliers of operator spaces, and the injective envelope.
• Subspaces of \(C^ *\)-algebras
• Injective envelopes of operator systems
• A Schwarz inequality for positive linear maps on C\(^*\)-algebras
• Injectivity and operator spaces
• Subspaces of \(L(H)\) that are *-invariant
• One-sided \(M\)-ideals and multipliers in operator spaces. I.
• The Shilov boundary of an operator space and the characterization theorems

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