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The perturbation classes problem for subprojective and superprojective Banach spaces

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

 Editorial: Academic Press Inc.

 Fecha de publicación: 01/09/2020

 Nº de páginas: 6

 Tipo de publicación: Artículo de Revista

 DOI: 10.1016/j.jmaa.2020.124191

 ISSN: 0022-247X,1096-0813

 Proyecto español: MTM2016-76958

 Url de la publicación: https://doi.org/10.1016/j.jmaa.2020.124191

Autoría

JAVIER PELLO GARCIA

SALAS-BROWN, M.