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Two classes of operators related to the perturbation classes problem

dc.contributor.authorGonzález Ortiz, Manuel 
dc.contributor.authorSalas-Brown, Margot
dc.contributor.otherUniversidad de Cantabriaes_ES
dc.date.accessioned2024-03-22T17:41:09Z
dc.date.available2024-03-22T17:41:09Z
dc.date.issued2023-07
dc.identifier.issn2538-225X
dc.identifier.issn2662-2009
dc.identifier.otherPID2019-103961es_ES
dc.identifier.urihttps://hdl.handle.net/10902/32432
dc.description.abstractLet 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.es_ES
dc.description.sponsorshipSupported in part by MINCIN Project PID2019-103961.es_ES
dc.format.extent9 p.es_ES
dc.language.isoenges_ES
dc.publisherSpringeres_ES
dc.rightsThis article is licensed under a CreativeCommonsAttribution 4.0 InternationalLicense,which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.es_ES
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/*
dc.sourceAdvances in Operator Theory, 2023, 8(3), 41es_ES
dc.subject.otherPerturbation classes problemes_ES
dc.subject.otherSemi-Fredholm operatores_ES
dc.subject.otherStrictly singular operatores_ES
dc.titleTwo classes of operators related to the perturbation classes problemes_ES
dc.typeinfo:eu-repo/semantics/articlees_ES
dc.relation.publisherVersionhttps://doi.org/10.1007/s43036-023-00270-0es_ES
dc.rights.accessRightsopenAccesses_ES
dc.relation.projectIDinfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-103961GB-C22/ES/FAMILIAS ANALITICAS DE ESPACIOS DE BANACH Y OPERADORES/es_ES
dc.identifier.DOI10.1007/s43036-023-00270-0
dc.type.versionpublishedVersiones_ES


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This article is licensed under a CreativeCommonsAttribution 4.0 InternationalLicense,which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.Excepto si se señala otra cosa, la licencia del ítem se describe como This article is licensed under a CreativeCommonsAttribution 4.0 InternationalLicense,which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made.