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Principle of local reflexivity respecting nests of subspaces and the nest approximation properties

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Abstract Versions of the principle of local reflexivity which respect given nests of subspaces of a Banach space are established. As an application, some duality and lifting theorems on approximation… Click to show full abstract

Abstract Versions of the principle of local reflexivity which respect given nests of subspaces of a Banach space are established. As an application, some duality and lifting theorems on approximation properties of pairs are extended to the context of nest approximation properties of Banach spaces.

Keywords: nest approximation; approximation; principle local; local reflexivity; nests subspaces; approximation properties

Journal Title: Journal of Functional Analysis
Year Published: 2017

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