Approximation properties defined by spaces of operators and approximability in operator topologies

zbMath1185.46009MaRDI QIDQ733334

Kristel Mikkor, Aleksei Lissitsin, Eh. F. Oya

Publication date: 15 October 2009

Published in: Illinois Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.ijm/1248355350

zbMATH Keywords

approximation propertystrong operator topologyspaces of operators

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28) Linear spaces of operators (47L05)

Related Items (10)

Lifting convex approximation properties from Banach spaces to their dual spaces and the related local reflexivity ⋮ Characterizations of approximation properties defined by operator ideals in weighted Banach spaces of holomorphic functions ⋮ The Banach ideal of \(\mathcal A\)-compact operators and related approximation properties ⋮ A note on generalized approximation property ⋮ The asymptotically commuting bounded approximation property of Banach spaces ⋮ Impact of the Radon-Nikodým property on convex approximation properties ⋮ The convex approximation property of Banach spaces ⋮ Ideal topologies and corresponding approximation properties ⋮ A characterization of bounded convex approximation properties ⋮ Bounded approximation properties via integral and nuclear operators

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