On \(\alpha\)-nuclear operators with applications to vector-valued function spaces

DOI10.1016/j.jfa.2015.06.002zbMath1332.46028OpenAlexW650129674MaRDI QIDQ495973

Fernando Muñoz, Cándido Piñeiro, Eh. F. Oya

Publication date: 16 September 2015

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

Full work available at URL: https://doi.org/10.1016/j.jfa.2015.06.002

zbMATH Keywords

tensor products(unconditional) \(p\)-compactness(unconditionally) \(p\)-continuous vector-valued functions\(\alpha\)-nuclear operators

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Compactness in Banach (or normed) spaces (46B50) Operator ideals (47L20) Tensor products in functional analysis (46M05)

Related Items (9)

Operator-valued operators that are associated to vector-valued operators ⋮ Operators constructed by means of basic sequences and nuclear matrices ⋮ Absolutely \((r,q)\)-summing operators on vector-valued function spaces ⋮ On approximation properties related to unconditionally p‐compact operators and Sinha–Karn p‐compact operators ⋮ Polynomials and holomorphic functions on \(\mathcal{A}\)-compact sets in Banach spaces ⋮ The Bartle-Dunford-Schwartz and the Dinculeanu-Singer theorems revisited ⋮ Some approximation properties and nuclear operators in spaces of analytical functions ⋮ Operator \(p\)-compact mappings ⋮ Compactness in the space of $p$-continuous vector-valued functions

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