The approximation property in terms of the approximability of weak\(^*\)-weak continuous operators.

DOI10.1016/S0022-247X(03)00513-4zbMath1060.47023MaRDI QIDQ1414229

Anders Pelander, Eh. F. Oya

Publication date: 20 November 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Banach spaceapproximation propertymetric conditionsnet of operators

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear operators defined by compactness properties (47B07) Spaces of operators; tensor products; approximation properties (46B28) Linear operator approximation theory (47A58)

Related Items (6)

Ideals of operators, approximability in the strong operator topology, and the approximation property ⋮ The strong approximation property ⋮ Approximation properties defined by spaces of operators and approximability in operator topologies ⋮ The \(p\)-approximation property in terms of density of finite rank operators ⋮ Inner and outer inequalities with applications to approximation properties ⋮ The weak metric approximation property

Cites Work

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• Factoring weakly compact operators
• Isometric factorization of weakly compact operators and the approximation property
• Ideals of operators, approximability in the strong operator topology, and the approximation property
• A counterexample to the approximation problem in Banach spaces
• A Survey of Some Results in Connection with Grothendieck Approximation Property
• An operator ideal in connection with the RADON-NIKODYM property of BANACH spaces
• Hahn-Banach extension operators and spaces of operators
• Produits tensoriels topologiques et espaces nucléaires
• Spaces of compact operators and their dual spaces

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