Grothendieck's nuclear operator theorem revisited with an application to \(p\)-null sequences

DOI10.1016/j.jfa.2012.08.010zbMath1301.47030OpenAlexW1979825837MaRDI QIDQ1760180

Eh. F. Oya

Publication date: 13 November 2012

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2012.08.010

zbMATH Keywords

Banach spacestensor productsapproximation propertyoperator idealnuclear operators\(\alpha\)-nuclear operators\(p\)-compactness\(p\)-null sequences

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)

Related Items (7)

On ‐null sequences and their relatives ⋮ Unconditionally p-null sequences and unconditionally p-compact operators ⋮ The Banach ideal of \(\mathcal A\)-compact operators and related approximation properties ⋮ On \(\alpha\)-nuclear operators with applications to vector-valued function spaces ⋮ Some approximation properties and nuclear operators in spaces of analytical functions ⋮ Operator \(p\)-compact mappings ⋮ Weaker relatives of the bounded approximation property for a Banach operator ideal

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