Estimation of the Szlenk index of Banach spaces via Schreier spaces

• Autorzy: Ryan Causey
• Języki publikacji: EN

Abstrakty

EN

For each ordinal α < ω₁, we prove the existence of a Banach space with a basis and Szlenk index $ω^{α+1}$ which is universal for the class of separable Banach spaces with Szlenk index not exceeding $ω^{α}$. Our proof involves developing a characterization of which Banach spaces embed into spaces with an FDD with upper Schreier space estimates.

Kategorie tematyczne

• 46B20: Geometry and structure of normed linear spaces
• 46B03: Isomorphic theory (including renorming) of Banach spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2013
• Tom: 216
• Numer: 2
• Strony: 149-178

Daty

wydano

2013

Twórcy

autor

Ryan Causey

• Department of Mathematics, Texas A&M University, College Station, TX 77845, U.S.A.

Identyfikatory

DOI

10.4064/sm216-2-4