The dual of the Bourgain-Delbaen space
Functional Analysis
2007-05-23 v3 Logic
Abstract
It is shown that a script L_infty-space with separable dual constructed by Bourgain and Delbaen has small Szlenk index and thus does not have a quotient isomorphic to C(omega^omega). It follows that this is a script L_infty-space which is the same size as c_0 in the sense of the Szlenk index but does not contain c_0. This has some consequences in the theory of uniform homeomorphism of Banach spaces.
Keywords
Cite
@article{arxiv.math/9805081,
title = {The dual of the Bourgain-Delbaen space},
author = {Dale Alspach},
journal= {arXiv preprint arXiv:math/9805081},
year = {2007}
}
Comments
20 pages, LaTeX2e, Missing omegas in the statement and proof of Corollary 3.11 inserted