TOPOLOGICAL PROPERTIES OF BANACH-SPACES

Authors
JAYNE JE NAMIOKA I ROGERS CA
Citation
Je. Jayne et al., TOPOLOGICAL PROPERTIES OF BANACH-SPACES, Proceedings of the London Mathematical Society, 66, 1993, pp. 651-672
Citations number
29
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Proceedings of the London Mathematical Society → ACNP
ISSN journal
00246115
Volume
66
Year of publication
1993
Part
3
Pages
651 - 672
Database
ISI
SICI code
0024-6115(1993)66:<651:TPOB>2.0.ZU;2-3
Abstract
Weakly compact sets in Banach spaces are fragmentable. We introduce th e weaker notion of the sigma-fragmentability of a subset of a Banach s pace, a notion that has a far wider range of applicability. We prove t hat all weakly Cech-analytic subsets of a Banach space are sigma-fragm ented. This implies that all Banach spaces having Kadec norms are sigm a-fragmented. However l(infinity) is not sigma-fragmented.