@article{10902/32432, year = {2023}, month = {7}, url = {https://hdl.handle.net/10902/32432}, abstract = {Let SS and SC be the strictly singular and the strictly cosingular operators acting between Banach spaces, and let PΦ+ and PΦ+ be the perturbation classes for the upper and the lower semi-Fredholm operators. We study two classes of operators ΦS and ΦC that satisfy SS ⊂ ΦS ⊂ PΦ+ and SC ⊂ ΦC ⊂ PΦ_. We give some conditions under which these inclusions become equalities, from whichwe derive some positive solutions to the perturbation classes problem for semi-Fredholm operators.}, organization = {Supported in part by MINCIN Project PID2019-103961.}, publisher = {Springer}, publisher = {Advances in Operator Theory, 2023, 8(3), 41}, title = {Two classes of operators related to the perturbation classes problem}, author = {González Ortiz, Manuel and Salas-Brown, Margot}, }