Geodesic
Banach spaces which admit a norm with the uniform Kadec-Klee property
Studia Mathematica, Tome 112 (1994) no. 3, pp. 267-277

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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.
DOI : 10.4064/sm-112-3-267-277

S. J. Dilworth 1 ;  1 ;  1

1 
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S. J. Dilworth;  ;  . Banach spaces which admit a norm with the uniform Kadec-Klee property. Studia Mathematica, Tome 112 (1994) no. 3, pp. 267-277. doi: 10.4064/sm-112-3-267-277

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