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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.
Fuente: Journal of Mathematical Analysis and Applications, 2021, 489 (2), 124191
Publisher: Academic Press Inc.
Publication date: 01/09/2020
No. of pages: 6
Publication type: Article
DOI: 10.1016/j.jmaa.2020.124191
ISSN: 0022-247X,1096-0813
Spanish project: MTM2016-76958
Publication Url: https://doi.org/10.1016/j.jmaa.2020.124191
Consultar en UCrea Leer publicación
MANUEL GONZALEZ ORTIZ
JAVIER PELLO GARCIA
SALAS-BROWN, M.
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