BANACH-SPACES WHICH ADMIT A NORM WITH THE UNIFORM KADEC-KLEE PROPERTY

Authors
DILWORTH SJ GIRARDI M KUTZAROVA D
Citation
Sj. Dilworth et al., BANACH-SPACES WHICH ADMIT A NORM WITH THE UNIFORM KADEC-KLEE PROPERTY, Studia Mathematica, 112(3), 1995, pp. 267-277
Citations number
35
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
112
Issue
3
Year of publication
1995
Pages
267 - 277
Database
ISI
SICI code
0039-3223(1995)112:3<267:BWAANW>2.0.ZU;2-G
Abstract
Several results are established about Banach spaces X which can be ren ormed to have the uniform Kadec-Klee property. It is proved that all s uch spaces have the complete continuity property. We show that the ren orming property can be lifted from X to the Lebesgue-Bochner space L2( X) if and only if X is super-reflexive. A basis characterization of th e renorming property for dual Banach spaces is given.