An operator Arzelà--Ascoli theorem

DOI10.1007/s10114-007-6354-yzbMath1163.46038arXivmath/0504154OpenAlexW2122822441MaRDI QIDQ943553

Wei Wu

Publication date: 9 September 2008

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504154

zbMATH Keywords

operator spacerelative compactnessArzelà-Ascoli theoremequicontinuityoperator systemsequicontinuousmatrix metric setmatrix order unit space

Mathematics Subject Classification ID

Operator spaces and completely bounded maps (46L07)

Related Items (3)

Extremal matrix states on tensor product of \(C^{*}\)-algebras ⋮ Almost periodic type group actions on compact quantum metric spaces ⋮ An approximation property for operator systems

Cites Work

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• Injectivity and operator spaces
• Metrics on states from actions of compact groups
• Matricial quantum Gromov--Hausdorff distance.
• Metrics on state spaces
• Group \(C^*\)-algebras as compact quantum metric spaces
• Metrics on group \(C^{*}\)-algebras and a non-commutative Arzelà-Ascoli theorem
• Quantized Gromov--Hausdorff distance
• Subalgebras of \(C^ *\)-algebras
• The Krein-Milman theorem in operator convexity
• Gromov-Hausdorff distance for quantum metric spaces
• Non-commutative metric topology on matrix state space
• Compact metric spaces, Fredholm modules, and hyperfiniteness

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