Bases equivalent to the unit vector basis of $c_0$ or $\ell_p$
Functional Analysis
2022-02-16 v1
Abstract
We will show that an unconditional basis in a Banach space is equivalent to the unit vector basis of or for if and only if all finitely supported blocks of the basis generated by a unit vector and its dual basis are uniformly equivalent to the basis or all such blocks are uniformly complemented.
Cite
@article{arxiv.2202.07057,
title = {Bases equivalent to the unit vector basis of $c_0$ or $\ell_p$},
author = {P. G. Casazza},
journal= {arXiv preprint arXiv:2202.07057},
year = {2022}
}