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arXiv · 1308.5416

Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces

Ryan Causey
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Abstract

For each ordinal $α< ω_1$, we prove the existence of a separable, reflexive Banach space with a basis and Szlenk index $ω^{α+1}$ which is universal for the class of separable, reflexive Banach spaces $X$ such that the Szlenk indices $Sz(X), Sz(X^*)$ do not exceed $ω^α$.

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Ryan Causey. 2013-08-25. Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces. https://arxiv.org/abs/1308.5416

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