The convex approximation property of Banach spaces

DOI10.1016/j.jmaa.2011.01.059zbMath1223.46016OpenAlexW2049261773MaRDI QIDQ531865

Aleksei Lissitsin, Eh. F. Oya

Publication date: 20 April 2011

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

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.01.059

zbMATH Keywords

Banach spacesBanach latticesapproximation propertypositive approximation propertyspaces of operatorsweak metric approximation property

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28)

Related Items (13)

Ando-Choi-Effros liftings for regular maps between Banach lattices ⋮ The Lidskii trace property and the nest approximation property in Banach spaces ⋮ Lifting convex approximation properties from Banach spaces to their dual spaces and the related local reflexivity ⋮ Unnamed Item ⋮ Principle of local reflexivity respecting nests of subspaces and the nest approximation properties ⋮ The asymptotically commuting bounded approximation property of Banach spaces ⋮ Principle of local reflexivity respecting subspaces ⋮ Impact of the Radon-Nikodým property on convex approximation properties ⋮ Positive approximation properties of Banach lattices ⋮ Ideal topologies and corresponding approximation properties ⋮ A characterization of bounded convex approximation properties ⋮ Positive \(p\)-summing operators and disjoint \(p\)-summing operators ⋮ Positively \(p\)-nuclear operators, positively \(p\)-integral operators and approximation properties

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