Geometry of Banach spaces and biorthogonal systems
Volume 140 / 2000
Studia Mathematica 140 (2000), 243-271
DOI: 10.4064/sm-140-3-243-271
Abstract
A separable Banach space X contains $ℓ_1$ isomorphically if and only if X has a bounded fundamental total $wc_{0}*$-stable biorthogonal system. The dual of a separable Banach space X fails the Schur property if and only if X has a bounded fundamental total $wc_{0}*$-biorthogonal system.
