The perturbation classes problem for subprojective and superprojective Banach spaces
Functional Analysis
2020-06-11 v1
Abstract
We show that the perturbation class for the upper semi-Fredholm operators between two Banach spaces X and Y coincides with the strictly singular operators when X is subprojective and that the perturbation class for the lower semi-Fredholm operators coincides with the strictly cosingular operators when Y is superprojective. Similar results were previously obtained under stronger conditions for X and Y.
Keywords
Cite
@article{arxiv.2006.05802,
title = {The perturbation classes problem for subprojective and superprojective Banach spaces},
author = {Manuel González and Javier Pello and Margot Salas-Brown},
journal= {arXiv preprint arXiv:2006.05802},
year = {2020}
}
Comments
6 pages