The \(p\)-approximation property in terms of density of finite rank operators
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Publication:1018169
DOI10.1016/j.jmaa.2008.12.047zbMath1168.46008OpenAlexW2128423703MaRDI QIDQ1018169
Publication date: 13 May 2009
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.12.047
\(p\)-summing operator\(p\)-nuclear operator\(p\)-approximation property\(p\)-compact operatordual operator idealquasi-\(p\)-nuclear operator
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 (26)
On ‐null sequences and their relatives ⋮ On approximation properties related to unconditionally p‐compact operators and Sinha–Karn p‐compact operators ⋮ \(p\)-compactness of Bloch maps ⋮ Lipschitz operator ideals and the approximation property ⋮ The ideal of weakly p-compact operators and its approximation property for Banach spaces ⋮ The Banach ideal of \(\mathcal A\)-compact operators and related approximation properties ⋮ A note on generalized approximation property ⋮ A remark on the approximation of \(p\)-compact operators by finite-rank operators ⋮ On \(\alpha\)-nuclear operators with applications to vector-valued function spaces ⋮ The approximation properties via the Grothendieck p‐compact sets ⋮ AN OPERATOR SUMMABILITY OF SEQUENCES IN BANACH SPACES ⋮ \(p\)-compact holomorphic mappings ⋮ The dual space of (\(\mathcal L(X, Y), \tau _p\)) and the \(p\)-approximation property ⋮ Density of finite rank operators in the Banach space of \(p\)-compact operators ⋮ Behavior of holomorphic mappings on $p$-compact sets in a Banach space ⋮ Ideal topologies and corresponding approximation properties ⋮ Uniform factorization for \(p\)-compact sets of \(p\)-compact linear operators ⋮ SOME RESULTS OF THE -APPROXIMATION PROPERTY FOR BANACH SPACES ⋮ Closed ideals in the algebra of compact-by-approximable operators ⋮ On \(p\)-compact mappings and the \(p\)-approximation property ⋮ Compactness in the space of $p$-continuous vector-valued functions ⋮ Quotient algebras of Banach operator ideals related to non-classical approximation properties ⋮ THE -APPROXIMATION PROPERTY AND ITS DUALITY ⋮ The \(E\)-compactness and the \(E\)-approximation property determined by the Banach space \((\sum \ell_p)_q\) ⋮ On some measures of non-compactness associated to Banach operator ideals ⋮ Weaker relatives of the bounded approximation property for a Banach operator ideal
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