Kadec norms and Borel sets in a Banach space

Authors
Raja, M
Citation
M. Raja, Kadec norms and Borel sets in a Banach space, STUD MATH, 136(1), 1999, pp. 1-16
Citations number
28
Categorie Soggetti
Mathematics
Journal title
STUDIA MATHEMATICA
ISSN journal
00393223 → ACNP
Volume
136
Issue
1
Year of publication
1999
Pages
1 - 16
Database
ISI
SICI code
0039-3223(1999)136:1<1:KNABSI>2.0.ZU;2-8
Abstract
We introduce a property for a couple of topologies that allows us to give s imple proofs of some classic results about Borel sets in Banach spaces by E dgar, Schachermayer and Talagrand as well as some new results. We character ize the existence of Kadec type renormings in the spirit of the new results for LUR spaces by Molto, Orihuela and Troyanski.