Banach Spaces of Bounded Szlenk Index II
Functional Analysis
2008-09-23 v1 Algebraic Geometry
Abstract
For every we establish the existence of a separable Banach space whose Szlenk index is and which is universal for all separable Banach spaces whose Szlenk-index does not exceed . In order to prove that result we provide an intrinsic characterization of which Banach spaces embed into a space admitting an FDD with upper estimates.
Cite
@article{arxiv.0809.3626,
title = {Banach Spaces of Bounded Szlenk Index II},
author = {D. Freeman and E. Odell and Th. Schlumprecht and A. Zsak},
journal= {arXiv preprint arXiv:0809.3626},
year = {2008}
}