The perturbation classes problem for subprojective and superprojective Banach spaces

González, Manuel; Pello, Javier; Salas-Brown, Margot

doi:https://doi.org/10.1016/j.jmaa.2020.124191

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The perturbation classes problem for subprojective and superprojective Banach spaces

https://repository.urosario.edu.co/handle/10336/26016
https://doi.org/10.1016/j.jmaa.2020.124191

Autores

González, Manuel

Pello, Javier

Salas-Brown, Margot

Fecha

2020-04

Editor

Elsevier

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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.