Banach spaces of bounded Szlenk index II

• Autorzy: D. Freeman , E. Odell , Th. Schlumprecht , A. Zsák
• Języki publikacji: EN

Abstrakty

EN

For every α < ω₁ we establish the existence of a separable Banach space whose Szlenk index is $ω^{αω+1}$ and which is universal for all separable Banach spaces whose Szlenk index does not exceed $ω^{αω}$. In order to prove that result we provide an intrinsic characterization of which Banach spaces embed into a space admitting an FDD with Tsirelson type upper estimates.

Kategorie tematyczne

• 54H05: Descriptive set theory (topological aspects of Borel, analytic, projective, etc. sets)
• 46B20: Geometry and structure of normed linear spaces

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2009
• Tom: 205
• Numer: 2
• Strony: 161-177

Daty

wydano

2009

Twórcy

autor

D. Freeman

• Department of Mathematics, Texas A&M University, College Station, TX 77843, U.S.A.

autor

E. Odell

• Department of Mathematics, The University of Texas, 1 University Station C1200, Austin, TX 78712, U.S.A.

autor

Th. Schlumprecht

• Department of Mathematics, Texas A&M University, College Station, TX 77843, U.S.A.

autor

A. Zsák

• School of Mathematics, University of Leeds, Leeds, LS2 9JT, United Kingdom

Identyfikatory

DOI

10.4064/fm205-2-5