Ideals of operators and the metric approximation property

DOI10.1016/j.jfa.2003.10.001zbMath1068.46014OpenAlexW2085619415MaRDI QIDQ1876267

Vegard Lima, Åsvald Lima

Publication date: 16 August 2004

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2003.10.001

zbMATH Keywords

metric approximation propertyspaces of operatorsideals in Banach spaces

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04) Linear spaces of operators (47L05)

Related Items (7)

Ideal structures in vector-valued polynomial spaces ⋮ Lifting bounded approximation properties from Banach spaces to their dual spaces ⋮ Geometry of spaces of compact operators ⋮ Norm-preserving extensions of functionals and denting points of convex sets ⋮ Unconditional ideals of finite rank operators ⋮ Bounded approximation properties via integral and nuclear operators ⋮ The weak metric approximation property

Cites Work

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• An Approximation Property Related to M-Ideals of Compact Operators
• An Introduction to Banach Space Theory
• The Compact Approximation Property does not imply the Approximation Property
• Hahn-Banach extension operators and spaces of operators
• Ideals of compact operators
• Property (wM*) and the unconditional metric compact approximation property
• Self-induced compactness in Banach spaces
• Geometry of Banach spaces having shrinking approximations of the identity

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