Banach spaces which admit a norm with the uniform Kadec-Klee property
S. Dilworth, Maria Girardi, Denka Kutzarova (1995)
Studia Mathematica
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Several results are established about Banach spaces Ӿ 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 Ӿ to the Lebesgue-Bochner space if and only if Ӿ is super-reflexive. A basis characterization of the renorming property for dual Banach spaces is given.