Quotient algebras of Banach operator ideals related to non-classical approximation properties
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Publication:2079576
DOI10.1016/j.jmaa.2022.126637OpenAlexW4293473634MaRDI QIDQ2079576
Publication date: 30 September 2022
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2202.11500
approximation propertiesquotient algebraBanach operator idealsquasi \(p\)-nuclear operatorsSinha-Karn \(p\)-compact operators
Spaces of operators; tensor products; approximation properties (46B28) Operator ideals (47L20) Algebras of operators on Banach spaces and other topological linear spaces (47L10)
Related Items
On approximation properties related to unconditionally p‐compact operators and Sinha–Karn p‐compact operators ⋮ Exotic closed subideals of algebras of bounded operators
Cites Work
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- A remark on the approximation of \(p\)-compact operators by finite-rank operators
- 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
- The \(p\)-approximation property in terms of density of finite rank operators
- The Banach approximation problem
- Subspaces without the approximation property
- The injective and surjective hulls of the ideal of \((p,q)\)-compact operators and their approximation properties
- Closed ideals in the algebra of compact-by-approximable operators
- The Banach ideal of \(\mathcal A\)-compact operators and related approximation properties
- A characterization of compact linear mappings
- A counterexample to the approximation problem in Banach spaces
- Compact operators whose adjoints factor through subspaces of lp
- Approximation properties of orderp and the existence of non-p-nuclear operators withp-nuclear second adjoints
- The ideal of p-compact operators: a tensor product approach
- Operators whose adjoints are quasi p-nuclear
- On null sequences for Banach operator ideals, trace duality and approximation properties
- The Approximation Property Does Not Imply the Bounded Approximation Property
- THE QUOTIENT ALGEBRA OF COMPACT-BY-APPROXIMABLE OPERATORS ON BANACH SPACES FAILING THE APPROXIMATION PROPERTY
- The ideal of weakly p-compact operators and its approximation property for Banach spaces
- THE -APPROXIMATION PROPERTY AND ITS DUALITY
- The ideal of $p$-compact operators and its maximal hull
- Compact operators which factor through subspaces of lp
- p-nukleare und p-integrale Abbildungen in Banachräumen
- Produits tensoriels d'espaces de Banach et classes d'applications linéaires
- A Factorization Theorem for Compact Operators
- The Approximation Problem for Banach Spaces