Pointwise approximation by elementary complete contractions

DOI10.1090/S0002-9939-09-09781-0zbMath1187.46042arXiv0902.0277MaRDI QIDQ3631843

Bojan Magajna

Publication date: 22 June 2009

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

Full work available at URL: https://arxiv.org/abs/0902.0277

zbMATH Keywords

\(C^*\)-algebraidealselementary operatorspoint norm topology\(C^*\)-tensor product

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07) Commutators, derivations, elementary operators, etc. (47B47) Tensor products of (C^*)-algebras (46L06)

Related Items (3)

Which states can be reached from a given state by unital completely positive maps? ⋮ Approximation of Maps on C*-algebras by Completely Contractive Elementary Operators ⋮ Computation Versus Formulae for Norms of Elementary Operators

Cites Work

• Completely bounded module maps and the Haagerup tensor product
• The central Haagerup tensor product and maps between von Neumann algebras
• Notes on extensions of \(C^*\)-algebras
• Factorization through matrix spaces for finite rank operators between \(C^*\)-algebras
• On the central Haagerup tensor product and completely bounded mappings of a \(C^*\)-algebra
• Uniform approximation by elementary operators
• A Transitivity Theorem for Algebras of Elementary Operators
• C*-convex sets and completely bounded bimodule homomorphisms
• \(C^*\)-algebras by example
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