Banach spaces of bounded Szlenk index Academic Article

abstract

• For a countable ordinal we denote by C, the class of separable, reflexive Banach spaces whose Szlenk index and the Szlenk index of their dual are bounded by . We show that each C, admits a separable, reflexive universal space. We also show that spaces in the class C embed into spaces of the same class with a basis. As a consequence we deduce that each C is analytic in the Effros-Borel structure of subspaces of C[0, 1]. Instytut Matematyczny PAN, 2007.

authors

• Schlumprecht, Thomas

published proceedings

• Studia Mathematica

author list (cited authors)

• Odell, E., Schlumprecht, T. h., & Zsk, A.

citation count

• 17

complete list of authors

• Odell, E||Schlumprecht, Th||Zsák, A

publication date

• December 2007

publisher

• Institute of Mathematics, Polish Academy of Sciences  Publisher

published in

• Studia Mathematica  Journal

keywords

• 49 Mathematical Sciences
• 4904 Pure Mathematics

Digital Object Identifier (DOI)

• 10.4064/sm183-1-4

start page

• 63

end page

• 97

volume

• 183

issue

• 1

URL

• http://dx.doi.org/10.4064/sm183-1-4