Non-universal families of separable Banach spaces
Functional Analysis
2016-05-26 v1
Abstract
We prove that if is a family of separable Banach spaces which is analytic with respect to the Effros-Borel structure and none member of is isometrically universal for all separable Banach spaces, then there exists a separable Banach space with a monotone Schauder basis which is isometrically universal for but still not for all separable Banach spaces. We also establish an analogous result for the class of strictly convex spaces.
Keywords
Cite
@article{arxiv.1508.05059,
title = {Non-universal families of separable Banach spaces},
author = {Ondřej Kurka},
journal= {arXiv preprint arXiv:1508.05059},
year = {2016}
}