The perturbation classes problem for subprojective and superprojective Banach spaces

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 wh...

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Tipo de recurso:
Fecha de publicación:
2020
Institución:
Universidad del Rosario
Repositorio:
Repositorio EdocUR - U. Rosario
Idioma:
eng
OAI Identifier:
oai:repository.urosario.edu.co:10336/26016
Acceso en línea:
https://doi.org/10.1016/j.jmaa.2020.124191
https://repository.urosario.edu.co/handle/10336/26016
Palabra clave:
Semi-Fredholm operators
Perturbation classes
Subprojective Banach space
Superprojective Banach space
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Abierto (Texto Completo)
id EDOCUR2_d19f9412882a29973fc3c458658f7c2a
oai_identifier_str oai:repository.urosario.edu.co:10336/26016
network_acronym_str EDOCUR2
network_name_str Repositorio EdocUR - U. Rosario
repository_id_str
spelling 08faa0b5-596d-4bcb-82cc-5172db95dc2f-137f61494-4964-4213-a9db-4c6e8ebf68c7-19508f648-dbb4-4984-99e8-cbb3525ddd9c-12020-08-06T16:20:27Z2020-08-06T16:20:27Z2020-04We 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.application/pdfhttps://doi.org/10.1016/j.jmaa.2020.124191ISSN: 1096-0813EISSN: 0022-247Xhttps://repository.urosario.edu.co/handle/10336/26016engElsevierNo. 2124191Journal of Mathematical Analysis and ApplicationsVol. 489Journal of Mathematical Analysis and Applications, ISSN: 1096-0813 ; EISSN: 0022-247X, Vol.489, No.2 (September, 2020); pp.124191https://www.sciencedirect.com/science/article/abs/pii/S0022247X2030353X?via%3DihubAbierto (Texto Completo)http://purl.org/coar/access_right/c_abf2Journal of Mathematical Analysis and Applicationsinstname:Universidad del Rosarioreponame:Repositorio Institucional EdocURSemi-Fredholm operatorsPerturbation classesSubprojective Banach spaceSuperprojective Banach spaceThe perturbation classes problem for subprojective and superprojective Banach spacesEl problema de las clases de perturbación para espacios de Banach subproyectivos y superproyectivosarticleArtículohttp://purl.org/coar/version/c_970fb48d4fbd8a85http://purl.org/coar/resource_type/c_6501González, ManuelPello, JavierSalas-Brown, Margot10336/26016oai:repository.urosario.edu.co:10336/260162021-06-03 00:50:23.938https://repository.urosario.edu.coRepositorio institucional EdocURedocur@urosario.edu.co
dc.title.spa.fl_str_mv The perturbation classes problem for subprojective and superprojective Banach spaces
dc.title.TranslatedTitle.spa.fl_str_mv El problema de las clases de perturbación para espacios de Banach subproyectivos y superproyectivos
title The perturbation classes problem for subprojective and superprojective Banach spaces
spellingShingle The perturbation classes problem for subprojective and superprojective Banach spaces
Semi-Fredholm operators
Perturbation classes
Subprojective Banach space
Superprojective Banach space
title_short The perturbation classes problem for subprojective and superprojective Banach spaces
title_full The perturbation classes problem for subprojective and superprojective Banach spaces
title_fullStr The perturbation classes problem for subprojective and superprojective Banach spaces
title_full_unstemmed The perturbation classes problem for subprojective and superprojective Banach spaces
title_sort The perturbation classes problem for subprojective and superprojective Banach spaces
dc.subject.keyword.spa.fl_str_mv Semi-Fredholm operators
Perturbation classes
Subprojective Banach space
Superprojective Banach space
topic Semi-Fredholm operators
Perturbation classes
Subprojective Banach space
Superprojective Banach space
description 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.
publishDate 2020
dc.date.accessioned.none.fl_str_mv 2020-08-06T16:20:27Z
dc.date.available.none.fl_str_mv 2020-08-06T16:20:27Z
dc.date.created.spa.fl_str_mv 2020-04
dc.type.eng.fl_str_mv article
dc.type.coarversion.fl_str_mv http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.coar.fl_str_mv http://purl.org/coar/resource_type/c_6501
dc.type.spa.spa.fl_str_mv Artículo
dc.identifier.doi.none.fl_str_mv https://doi.org/10.1016/j.jmaa.2020.124191
dc.identifier.issn.none.fl_str_mv ISSN: 1096-0813
EISSN: 0022-247X
dc.identifier.uri.none.fl_str_mv https://repository.urosario.edu.co/handle/10336/26016
url https://doi.org/10.1016/j.jmaa.2020.124191
https://repository.urosario.edu.co/handle/10336/26016
identifier_str_mv ISSN: 1096-0813
EISSN: 0022-247X
dc.language.iso.spa.fl_str_mv eng
language eng
dc.relation.citationIssue.none.fl_str_mv No. 2
dc.relation.citationStartPage.none.fl_str_mv 124191
dc.relation.citationTitle.none.fl_str_mv Journal of Mathematical Analysis and Applications
dc.relation.citationVolume.none.fl_str_mv Vol. 489
dc.relation.ispartof.spa.fl_str_mv Journal of Mathematical Analysis and Applications, ISSN: 1096-0813 ; EISSN: 0022-247X, Vol.489, No.2 (September, 2020); pp.124191
dc.relation.uri.spa.fl_str_mv https://www.sciencedirect.com/science/article/abs/pii/S0022247X2030353X?via%3Dihub
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.acceso.spa.fl_str_mv Abierto (Texto Completo)
rights_invalid_str_mv Abierto (Texto Completo)
http://purl.org/coar/access_right/c_abf2
dc.format.mimetype.none.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Elsevier
dc.source.spa.fl_str_mv Journal of Mathematical Analysis and Applications
institution Universidad del Rosario
dc.source.instname.none.fl_str_mv instname:Universidad del Rosario
dc.source.reponame.none.fl_str_mv reponame:Repositorio Institucional EdocUR
repository.name.fl_str_mv Repositorio institucional EdocUR
repository.mail.fl_str_mv edocur@urosario.edu.co
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