On \(p\)-compact mappings and the \(p\)-approximation property

DOI10.1016/j.jmaa.2011.12.058zbMath1251.46022arXiv1107.1670OpenAlexW2020239886MaRDI QIDQ764960

Pablo Turco, Silvia Lassalle

Publication date: 16 March 2012

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

Full work available at URL: https://arxiv.org/abs/1107.1670

zbMATH Keywords

approximation propertiesholomorphic mappingshomogeneous polynomials\(p\)-compact sets

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Linear operators defined by compactness properties (47B07) Spaces of operators; tensor products; approximation properties (46B28) (Spaces of) multilinear mappings, polynomials (46G25) Compactness in Banach (or normed) spaces (46B50)

Related Items (21)

\(\mathcal A\)-compact mappings ⋮ Spaceability of sets of \(p\)-compact maps ⋮ On approximation properties related to unconditionally p‐compact operators and Sinha–Karn p‐compact operators ⋮ \(p\)-compactness of Bloch maps ⋮ The ideal of weakly p-compact operators and its approximation property for Banach spaces ⋮ The polynomial dual of an operator ideal ⋮ The Banach ideal of \(\mathcal A\)-compact operators and related approximation properties ⋮ The Compact Approximation Property for Weighted Spaces of Holomorphic Mappings ⋮ The injective and surjective hulls of the ideal of \((p,q)\)-compact operators and their approximation properties ⋮ On \(\alpha\)-nuclear operators with applications to vector-valued function spaces ⋮ Polynomials and holomorphic functions on \(\mathcal{A}\)-compact sets in Banach spaces ⋮ The approximation properties determined by operator ideals ⋮ A note on \(p\)-limited sets ⋮ Behavior of holomorphic mappings on $p$-compact sets in a Banach space ⋮ Uniform factorization for \(p\)-compact sets of \(p\)-compact linear operators ⋮ SOME RESULTS OF THE -APPROXIMATION PROPERTY FOR BANACH SPACES ⋮ Lipschitz \(p\)-compact mappings ⋮ Compactness in the space of $p$-continuous vector-valued functions ⋮ A polynomial Hutton theorem with applications ⋮ The \(E\)-compactness and the \(E\)-approximation property determined by the Banach space \((\sum \ell_p)_q\) ⋮ Weaker relatives of the bounded approximation property for a Banach operator ideal

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