The descriptive complexity of the family of Banach spaces with the π-property
- Publication Type
- Original research
- Authors
Abstract We show that the set of all separable Banach spaces that have the π-property is a Borel subset of the set of all closed subspaces of C (Δ), where Δ is the Cantor set, equipped with the standard Effros-Borel structure. We show that if α< ω 1, the set of spaces with Szlenk index at most α which have a shrinking FDD is Borel
Journal
- Title
- Arabian Journal of Mathematics
- Publisher
- Springer Berlin Heidelberg
- Publisher Country
- Saudi Arabia
- Publication Type
- Both (Printed and Online)
- Volume
- 4
- Year
- 2015
- Pages
- :35–39