Ideals of compact operators

DOI10.1017/S144678870001017XzbMath1082.46016OpenAlexW2164144290MaRDI QIDQ4658828

Åsvald Lima, Eh. F. Oya

Publication date: 21 March 2005

Published in: Journal of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s144678870001017x

zbMATH Keywords

compact operatoridealapproximation property\(M\)-ideal

Mathematics Subject Classification ID

Spaces of operators; tensor products; approximation properties (46B28) Isometric theory of Banach spaces (46B04) Linear spaces of operators (47L05)

Related Items (13)

Ideals of operators and the metric approximation property ⋮ Ideals of operators, approximability in the strong operator topology, and the approximation property ⋮ The weak metric approximation property and ideals of operators ⋮ Hahn-Banach extension operators and spaces of operators ⋮ M(r, s)-ideals of compact operators ⋮ Geometry of spaces of compact operators ⋮ Norm-preserving extensions of functionals and denting points of convex sets ⋮ Phelps' uniqueness property for \(K(X,Y)\) in \(L(X,Y)\) ⋮ Approximation properties defined by spaces of operators and approximability in operator topologies ⋮ Unconditional ideals of finite rank operators ⋮ THE QUOTIENT ALGEBRA OF COMPACT-BY-APPROXIMABLE OPERATORS ON BANACH SPACES FAILING THE APPROXIMATION PROPERTY ⋮ Inner and outer inequalities with applications to approximation properties ⋮ Uniqueness of norm-preserving extensions of functionals on the space of compact operators

Cites Work

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• Hahn-Banach extension operators and spaces of operators
• Self-induced compactness in Banach spaces
• Intersection properties of ball sequences and uniqueness of Hahn–Banach extensions
• Geometry of Banach spaces having shrinking approximations of the identity
• Spaces of compact operators and their dual spaces
• On ideals in Banach spaces

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