BANACH-SPACES THAT ADMIT SUPPORT SETS

Authors
BORWEIN JM VANDERWERFF JD
Citation
Jm. Borwein et Jd. Vanderwerff, BANACH-SPACES THAT ADMIT SUPPORT SETS, Proceedings of the American Mathematical Society, 124(3), 1996, pp. 751-755
Citations number
8
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the American Mathematical Society → ACNP
ISSN journal
00029939
Volume
124
Issue
3
Year of publication
1996
Pages
751 - 755
Database
ISI
SICI code
0002-9939(1996)124:3<751:BTASS>2.0.ZU;2-I
Abstract
It is shown that the existence of a closed convex set all of whose poi nts are properly supported in a Banach space is equivalent to the exis tence of a certain type of uncountable ordered one-sided biorthogonal system. Under the continuum hypothesis, we deduce that this notion is weaker than the existence of an uncountable biorthogonal system.