On quotients of Banach spaces having shrinking unconditional bases
Functional Analysis
2008-02-03 v1
Abstract
It is proved that if a Banach space is a quotient of a Banach space having a shrinking unconditional basis, then every normalized weakly null sequence in has an unconditional subsequence. The proof yields the corollary that every quotient of Schreier's space is -saturated.
Keywords
Cite
@article{arxiv.math/9201219,
title = {On quotients of Banach spaces having shrinking unconditional bases},
author = {Edward Odell},
journal= {arXiv preprint arXiv:math/9201219},
year = {2008}
}