The perturbation classes problem for subprojective and superprojective Banach spaces

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URI: https://hdl.handle.net/10902/32434
ISSN: 0022-247X
ISSN: 1096-0813
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Autoría
González Ortiz, ManuelAutoridad Unican; Pello García, JavierAutoridad Unican; Salas-Brown, M.
Fecha
2020-09
Derechos
© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license
Publicado en
Journal of Mathematical Analysis and Applications, 2021, 489 (2), 124191
Editorial
Academic Press Inc.
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Resumen/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.
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© 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 licenseExcepto si se señala otra cosa, la licencia del ítem se describe como © 2020. This manuscript version is made available under the CC-BY-NC-ND 4.0 license