The injective and surjective hulls of the ideal of \((p,q)\)-compact operators and their approximation properties

DOI10.1016/J.JMAA.2018.12.035zbMath1460.47045OpenAlexW2904235522WikidataQ123277601 ScholiaQ123277601MaRDI QIDQ1733771

Ju Myung Kim

Publication date: 21 March 2019

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.2018.12.035

zbMATH Keywords

approximation propertyinjective hullBanach operator idealtensor norm\((p,q)\)-compact operatorsurjective hull

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Factorization theory (including Wiener-Hopf and spectral factorizations) of linear operators (47A68) Operator ideals (47L20)

Related Items (8)

On approximation properties related to unconditionally p‐compact operators and Sinha–Karn p‐compact operators ⋮ The ideal of weakly p-compact operators and its approximation property for Banach spaces ⋮ Banach compactness and Banach nuclear operators ⋮ Unnamed Item ⋮ Closed ideals in the algebra of compact-by-approximable operators ⋮ Quotient algebras of Banach operator ideals related to non-classical approximation properties ⋮ The ideal of operators factored through a Banach space with a basis ⋮ The \(E\)-compactness and the \(E\)-approximation property determined by the Banach space \((\sum \ell_p)_q\)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Weaker relatives of the bounded approximation property for a Banach operator ideal
• A remark on the approximation of \(p\)-compact operators by finite-rank operators
• The ideal of unconditionally \(p\)-compact operators
• On \(p\)-compact mappings and the \(p\)-approximation property
• Density of finite rank operators in the Banach space of \(p\)-compact operators
• Tensor products and Banach ideals of p-compact operators
• Banach ideals of p-compact operators
• The Banach ideal of \(\mathcal A\)-compact operators and related approximation properties
• Compact operators whose adjoints factor through subspaces of l_p
• Compact operators which are defined byl_p-spaces
• Unconditionally p-null sequences and unconditionally p-compact operators
• Approximation properties of orderp and the existence of non-p-nuclear operators withp-nuclear second adjoints
• Injective and surjective hulls of classical $p$-compact operators with application to unconditionally $p$-compact operators
• The ideal of p-compact operators: a tensor product approach
• On ‐null sequences and their relatives
• Operators whose adjoints are quasi p-nuclear
• THE -APPROXIMATION PROPERTY AND ITS DUALITY
• Compact operators which factor through subspaces of l_p
• p-nukleare und p-integrale Abbildungen in Banachräumen
• Produits tensoriels topologiques et espaces nucléaires

This page was built for publication: The injective and surjective hulls of the ideal of \((p,q)\)-compact operators and their approximation properties