Bounded approximation properties via integral and nuclear operators

DOI10.1090/S0002-9939-09-10061-8zbMath1193.46012OpenAlexW2030050558MaRDI QIDQ3402181

Åsvald Lima, Vegard Lima, Eh. F. Oya

Publication date: 2 February 2010

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10061-8

zbMATH Keywords

Banach spacesBanach operator idealsbounded approximation properties

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) Operator ideals (47L20)

Related Items (13)

On a separable weak version of the bounded approximation property ⋮ Unnamed Item ⋮ Absolutely summing operators on \(C[0,1\) as a tree space and the bounded approximation property] ⋮ The Banach ideal of \(\mathcal A\)-compact operators and related approximation properties ⋮ The Compact Approximation Property for Weighted Spaces of Holomorphic Mappings ⋮ The asymptotically commuting bounded approximation property of Banach spaces ⋮ Impact of the Radon-Nikodým property on convex approximation properties ⋮ The approximation properties determined by operator ideals ⋮ Ideal topologies and corresponding approximation properties ⋮ A remark on Defant-Floret-Lima-Oja's conjecture ⋮ Inner and outer inequalities with applications to approximation properties ⋮ Weak approximation properties of subspaces ⋮ Weaker relatives of the bounded approximation property for a Banach operator ideal

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