Geodesic
Estimation of the Szlenk index of Banach spaces via Schreier spaces
Ryan Causey1
1 Department of Mathematics Texas A&M University College Station, TX 77845, U.S.A.
Studia Mathematica, Tome 216 (2013) no. 2, pp. 149-178

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

For each ordinal $\alpha \omega _1$, we prove the existence of a Banach space with a basis and Szlenk index $\omega ^{\alpha +1}$ which is universal for the class of separable Banach spaces with Szlenk index not exceeding $\omega ^\alpha $. Our proof involves developing a characterization of which Banach spaces embed into spaces with an FDD with upper Schreier space estimates.
DOI : 10.4064/sm216-2-4
Mots-clés : each ordinal alpha omega prove existence banach space basis szlenk index omega alpha which universal class separable banach spaces szlenk index exceeding omega alpha proof involves developing characterization which banach spaces embed spaces fdd upper schreier space estimates

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 Banach spaces via Schreier spaces. Studia Mathematica, Tome 216 (2013) no. 2, pp. 149-178. doi: 10.4064/sm216-2-4

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