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On the hereditary character of new strong variations of Weyl type Theorems

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dc.contributor.authorCarpintero, Carlos
dc.contributor.authorMalaver, A
dc.contributor.authorRosas, E
dc.contributor.authorSanabria, J
dc.contributor.researchgroupCiencias, Entorno y optimización (CEO)
dc.date.accessioned2025-09-11T20:09:05Z
dc.date.issued2019
dc.description.abstractBerkani and Kachad [18], [19], and Sanabria et al. [32], introduced and studied strong variations of Weyl type Theorems. In this paper, we study the behavior of these strong variations of Weyl type theorems for an operator T on a proper closed and Tinvariant subspace W ⊆ X such that T n (X) ⊆ W for some n ≥ 1, where T ∈ L(X) and X is an infinite-dimensional complex Banach space. The main purpose of this paper is to prove that for these subspaces (which generalize the case T n (X) closed for some n ≥ 0), these strong variations of Weyl type theorems are preserved from T to its restriction on W and vice-versa. As consequence of our results, we give sufficient conditions for which these strong variations of Weyl type Theorems are equivalent for two given operators. Also, some applications to multiplication operators acting on the boundary variation space BV [0, 1] are given.eng
dc.description.researchareaEstadística Aplicada y Optimización
dc.description.researchareaMatemáticas aplicadas
dc.description.researchareaMateriales y Entorno
dc.description.researchareaQuímica y Física teórica
dc.format.extent16 páginas
dc.format.mimetypeapplication/pdf
dc.identifier.eissn1221-8421
dc.identifier.urihttps://repositorio.cecar.edu.co/handle/cecar/10928
dc.language.isoeng
dc.publisher.placeColombia
dc.relation.citationendpage226
dc.relation.citationissue2
dc.relation.citationstartpage211
dc.relation.citationvolume65
dc.relation.ispartofjournalAnalele Stiintifice Ale Universitatii Al I Cuza Din Iasi Matematica
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dc.rightsDerechos Reservados. Corporación Universitaria del Caribe – CECARspa
dc.rights.accessrightsinfo:eu-repo/semantics/openAccess
dc.rights.coarhttp://purl.org/coar/access_right/c_abf2
dc.rights.licenseAtribución-NoComercial 4.0 Internacional (CC BY-NC 4.0)
dc.rights.urihttps://creativecommons.org/licenses/by-nc/4.0/
dc.sourcehttps://repositorio.cuc.edu.co/server/api/core/bitstreams/fe126455-71c5-456c-958b-5c968c537765/content
dc.subject.proposalNew Weyl-type theoremseng
dc.subject.proposalStrong variations of Weyl type theoremseng
dc.subject.proposalRestrictions of operatorseng
dc.subject.proposalSpectral propertieseng
dc.subject.proposalMultiplication operatorseng
dc.titleOn the hereditary character of new strong variations of Weyl type Theoremseng
dc.typeArtículo de revista
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.type.coarversionhttp://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.contentText
dc.type.driverinfo:eu-repo/semantics/article
dc.type.redcolhttp://purl.org/redcol/resource_type/ART
dc.type.versioninfo:eu-repo/semantics/publishedVersion
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