Banach Spaces Which Admit a Norm with the Uniform Kadec-klee Property
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چکیده
Several results are established about Banach spaces X which can be renormed to have the uniform Kadec-Klee property. It is proved that all such spaces have the complete continuity property. We show that the renorming property can be lifted from X to the Lebesgue-Bochner space L2(X) if and only if X is super-re exive. A basis characterization of the renorming property for dual Banach spaces is given.
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تاریخ انتشار 1994