Estimation of the Szlenk index of Banach spaces via Schreier spaces
Ryan Causey (2013)
Studia Mathematica
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For each ordinal α < ω₁, we prove the existence of a Banach space with a basis and Szlenk index which is universal for the class of separable Banach spaces with Szlenk index not exceeding . Our proof involves developing a characterization of which Banach spaces embed into spaces with an FDD with upper Schreier space estimates.