Complete isomorphic classifications of some spaces of compact operators

DOI10.1090/S0002-9939-09-10117-XzbMath1195.46008OpenAlexW2162070218MaRDI QIDQ5189196

Elói Medina Galego

Publication date: 8 March 2010

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-09-10117-x

zbMATH Keywords

spaces of continuous functionscompact operatorsisomorphic classifications

Mathematics Subject Classification ID

Classical Banach spaces in the general theory (46B25) Isomorphic theory (including renorming) of Banach spaces (46B03) 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) Consistency and independence results (03E35)

Related Items (5)

On the Semadeni derivative of Banach spaces $C(K,X)$ ⋮ Geometric relations between spaces of nuclear operators and spaces of compact operators ⋮ On spaces of compact operators on $C(K, X)$ spaces ⋮ Spaces of compact operators on \(C(2^{\mathfrak m}\oplus [0,\alpha)\) spaces] ⋮ A complete classification of the spaces of compact operators on $C([1,\alpha , l_{p})$ spaces, $1<p< \infty $]

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