Estimation of the Szlenk index of Banach spaces via Schreier spaces
Ryan Causey
Studia Mathematica, Tome 215 (2013), p. 149-178 / Harvested from The Polish Digital Mathematics Library
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For each ordinal α < ω₁, we prove the existence of a Banach space with a basis and Szlenk index ωα+1 which is universal for the class of separable Banach spaces with Szlenk index not exceeding ωα. Our proof involves developing a characterization of which Banach spaces embed into spaces with an FDD with upper Schreier space estimates.

Publié le : 2013-01-01
EUDML-ID : urn:eudml:doc:285547 
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Ryan Causey. Estimation of the Szlenk index of Banach spaces via Schreier spaces. Studia Mathematica, Tome 215 (2013) pp. 149-178. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm216-2-4/