Geometry of Banach spaces and biorthogonal systems
Functional Analysis
2007-05-23 v1
Abstract
A separable Banach space X contains isomorphically if and only if X has a bounded 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 wc_0^*-biorthogonal system.
Keywords
Cite
@article{arxiv.math/9911156,
title = {Geometry of Banach spaces and biorthogonal systems},
author = {S. J. Dilworth and Maria Girardi and W. B. Johnson},
journal= {arXiv preprint arXiv:math/9911156},
year = {2007}
}