Geometry of Banach spaces and biorthogonal systems

Authors
Dilworth, SJ Girardi, M Johnson, WB
Citation
Sj. Dilworth et al., Geometry of Banach spaces and biorthogonal systems, STUD MATH, 140(3), 2000, pp. 243-271
Citations number
24
Categorie Soggetti
Mathematics
Journal title
STUDIA MATHEMATICA
ISSN journal
00393223 → ACNP
Volume
140
Issue
3
Year of publication
2000
Pages
243 - 271
Database
ISI
SICI code
0039-3223(2000)140:3<243:GOBSAB>2.0.ZU;2-N
Abstract
A separable Banach space X contains l(1) isomorphically if and only if X ha s a bounded fundamental total wc(0)*-stable biorthogonal system. The dual o f a separable Banach space X fails the Schur property if and only if X has a bounded fundamental total wc(0)*-biorthogonal system.