Kadec and Krein-Milman properties

Authors
Molto, A Orihuela, J Troyanski, S Valdivia, M
Citation
A. Molto et al., Kadec and Krein-Milman properties, CR AC S I, 331(6), 2000, pp. 459-464
Citations number
12
Categorie Soggetti
Mathematics
Journal title
COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE I-MATHEMATIQUE
ISSN journal
07644442 → ACNP
Volume
331
Issue
6
Year of publication
2000
Pages
459 - 464
Database
ISI
SICI code
0764-4442(20000915)331:6<459:KAKP>2.0.ZU;2-J
Abstract
The main goal of this paper is to prove that any Banach space X with the Kr ein-Milman property such that the weak and the norm topology coincide on it s unit sphere admits an equivalent norm that is locally uniformly rotund. ( C) 2000 Academie des sciences/Editions scientifiques et medicales Elsevier SAS.