A Characterization of Subspaces X of l p for which K(X) is an M- Ideal in L(X)

DOI10.2307/2045615zbMath0537.47010OpenAlexW4247912263MaRDI QIDQ3322688

William B. Johnson, Chong-Man Cho

Publication date: 1985

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

Full work available at URL: https://doi.org/10.2307/2045615

zbMATH Keywords

compact operators\(M\)-idealcompact approximation propertyfinite dimensional decomposition

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Riesz operators; eigenvalue distributions; approximation numbers, (s)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators (47B06) Spaces of linear operators; topological tensor products; approximation properties (46A32) Algebras of operators on Banach spaces and other topological linear spaces (47L10)

Related Items (15)

ON THE EXISTENCE OF NON-NORM-ATTAINING OPERATORS ⋮ Lifting bounded approximation properties from Banach spaces to their dual spaces ⋮ New classes of Banach spaces which are M-ideals in their biduals ⋮ Daugavet property of Banach algebras of holomorphic functions and norm-attaining holomorphic functions ⋮ A note on numerical radius attaining mappings ⋮ Calkin representations for \(L^{p}\) ⋮ Isometric properties of the subspace of compact operators in a space of continuous linear operators ⋮ Lipschitz approximable Banach spaces ⋮ M(r, s)-ideals of compact operators ⋮ Multiplication operators on \(L(L_{p})\) and \(\ell_{p}\)-strictly singular operators ⋮ Geometry of Banach spaces having shrinking approximations of the identity ⋮ Functional decompositions on vector-valued function spaces via operators ⋮ On properties of \(M\)-ideals ⋮ Isometric factorization of weakly compact operators and the approximation property ⋮ The metric approximation property, norm-one projections and intersection properties of balls

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