On the bounded approximation property on subspaces of $\ell_p$ when $0<p<1$ and related issues
Functional Analysis
2018-08-10 v1
Abstract
This paper studies the bounded approximation property (BAP) in quasi Banach spaces. In the first part of the paper we show that the kernel of any surjective operator has the BAP when has it and , which is an analogue of the corresponding result of Lusky for Banach spaces. We then obtain and study nonlocally convex versions of the Kadec-Pe\l czy\'nski-Wojtaszczyk complementably universal spaces for Banach spaces with the BAP.
Keywords
Cite
@article{arxiv.1808.03169,
title = {On the bounded approximation property on subspaces of $\ell_p$ when $0<p<1$ and related issues},
author = {Félix Cabello Sánchez and Jesús M. F. Castillo and Yolanda Moreno},
journal= {arXiv preprint arXiv:1808.03169},
year = {2018}
}