On strongly asymptotic $\ell_p$ spaces and minimality
Functional Analysis
2007-05-23 v1
Abstract
We study Banach spaces X with a strongly asymptotic l_p basis (any disjointly supported finite set of vectors far enough out with respect to the basis behaves like l_p) which are minimal (X embeds into every infinite dimensional subspace). In particular such spaces embed into l_p.
Cite
@article{arxiv.math/0608550,
title = {On strongly asymptotic $\ell_p$ spaces and minimality},
author = {S. J. Dilworth and V. Ferenczi and Denka Kutzarova and E. Odell},
journal= {arXiv preprint arXiv:math/0608550},
year = {2007}
}
Comments
12 pages, AMSLaTeX