The approximation properties determined by operator ideals

DOI10.1007/S10114-016-6009-YzbMath1382.46013OpenAlexW2523593746MaRDI QIDQ526792

Dong Yang Chen, Lei Li

Publication date: 15 May 2017

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

Full work available at URL: https://doi.org/10.1007/s10114-016-6009-y

zbMATH Keywords

approximation propertyoperator ideals\({\mathcal{A}}\)-\(p\)-compact sets

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Operator ideals (47L20)

Cites Work

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• The dual space of (\(\mathcal L(X, Y), \tau _p\)) and the \(p\)-approximation property
• On \(p\)-compact mappings and the \(p\)-approximation property
• Isometric factorization of weakly compact operators and the approximation property
• The Banach ideal of \(\mathcal A\)-compact operators and related approximation properties
• The weak metric approximation property
• Compact operators whose adjoints factor through subspaces of l_p
• Bounded approximation properties via integral and nuclear operators
• OnA-Compact Operators, Generalized Entropy Numbers and Entropy Ideals
• An approximation property with respect to an operator ideal

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