Retractions and the bounded approximation property in Banach spaces
Functional Analysis
2022-02-17 v1
Abstract
In the present paper we prove that a necessary condition for a Banach space to admit a generating compact Lipschitz retract , which satisfies an additional mild assumption on its shape, is that enjoys the Bounded Approximation Property. This is a partial solution to a question raised by Godefroy and Ozawa.
Cite
@article{arxiv.2202.08085,
title = {Retractions and the bounded approximation property in Banach spaces},
author = {Petr Hájek and Rubén Medina},
journal= {arXiv preprint arXiv:2202.08085},
year = {2022}
}
Comments
arXiv admin note: text overlap with arXiv:2106.00331