Banach spaces of bounded Szlenk index II
Volume 205 / 2009
Fundamenta Mathematicae 205 (2009), 161-177
MSC: 46B20, 54H05.
DOI: 10.4064/fm205-2-5
Abstract
For every $\alpha <\omega _1$ we establish the existence of a separable Banach space whose Szlenk index is $\omega ^{\alpha \omega +1}$ and which is universal for all separable Banach spaces whose Szlenk index does not exceed $\omega ^{\alpha \omega }$. In order to prove that result we provide an intrinsic characterization of which Banach spaces embed into a space admitting an FDD with Tsirelson type upper estimates.
