A+ CATEGORY SCIENTIFIC UNIT

Banach spaces which admit a norm with the uniform Kadec-Klee property

Volume 112 / 1995

S. J. Dilworth, , Studia Mathematica 112 (1995), 267-277 DOI: 10.4064/sm-112-3-267-277

Abstract

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 $L_2(Ӿ)$ if and only if Ӿ is super-reflexive. A basis characterization of the renorming property for dual Banach spaces is given.

Authors

  • S. J. Dilworth


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