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Banach Spaces of Bounded Szlenk Index II

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 نشر من قبل Thomas B. Schlumprecht
 تاريخ النشر 2008
  مجال البحث
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For every $alpha<omega_1$ we establish the existence of a separable Banach space whose Szlenk index is $omega^{alphaomega+1}$ and which is universal for all separable Banach spaces whose Szlenk-index does not exceed $omega^{alphaomega}$. In order to prove that result we provide an intrinsic characterization of which Banach spaces embed into a space admitting an FDD with upper estimates.

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