Separable lifting property and extensions of local reflexivity
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Publication:5954262
zbMath1004.46008MaRDI QIDQ5954262
Timur Oikhberg, William B. Johnson
Publication date: 17 February 2002
Published in: Illinois Journal of Mathematics (Search for Journal in Brave)
Isomorphic theory (including renorming) of Banach spaces (46B03) Spaces of operators; tensor products; approximation properties (46B28) Duality and reflexivity in normed linear and Banach spaces (46B10)
Related Items (27)
Ideals of operators, approximability in the strong operator topology, and the approximation property ⋮ Lifting convex approximation properties from Banach spaces to their dual spaces and the related local reflexivity ⋮ Lifting bounded approximation properties from Banach spaces to their dual spaces ⋮ Stability of a pair of Banach spaces for \(\varepsilon\)-isometries ⋮ Lifting of the approximation property from Banach spaces to their dual spaces ⋮ The Johnson-Schechtman space has the 6-bounded approximation property ⋮ Principle of local reflexivity respecting nests of subspaces and the nest approximation properties ⋮ On separably injective Banach spaces ⋮ On strong asymptotic uniform smoothness and convexity ⋮ Lipschitz-free spaces and approximating sequences of projections ⋮ Some approximation properties of Banach spaces and Banach lattices ⋮ Geometry of spaces of compact operators ⋮ Positive approximation properties of Banach lattices ⋮ The strong approximation property ⋮ Extension properties for the space of compact operators. ⋮ Norm-attaining compact operators ⋮ Quasi-Banach spaces of almost universal disposition ⋮ The uniform structure of Banach spaces ⋮ The weak bounded approximation property of pairs ⋮ A characterization of bounded convex approximation properties ⋮ An Ando–Choi–Effros lifting theorem respecting subspaces ⋮ Complementably universal Banach spaces. II. ⋮ On lifting the approximation property from a Banach space to its dual ⋮ The weak metric approximation property ⋮ On the lifting property for \(C^{\ast}\)-algebras ⋮ Local duality for Banach spaces ⋮ The version for compact operators of Lindenstrauss properties A and B
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