Geodesic
Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces
Ryan Causey1
1 Department of Mathematics Texas A&M University College Station, TX 77845, U.S.A.
Fundamenta Mathematicae, Tome 228 (2015) no. 2, pp. 153-171 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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For each ordinal $\alpha \omega _1$, we prove the existence of a separable, reflexive Banach space $W$ with a basis so that $ {\rm Sz}(W), {\rm Sz}(W^*)\leq \omega ^{\alpha +1}$ which is universal for the class of separable, reflexive Banach spaces $X$ satisfying ${\rm Sz}(X), {\rm Sz}(X^*)\leq \omega ^\alpha $.
DOI : 10.4064/fm228-2-3
Keywords: each ordinal alpha omega prove existence separable reflexive banach space basis * leq omega alpha which universal class separable reflexive banach spaces satisfying * leq omega alpha

Ryan Causey 1

1 Department of Mathematics Texas A&M University College Station, TX 77845, U.S.A. 
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Ryan Causey. Estimation of the Szlenk index of reflexive Banach spaces using generalized Baernstein spaces. Fundamenta Mathematicae, Tome 228 (2015) no. 2, pp. 153-171. doi: 10.4064/fm228-2-3

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