dc.creatorCarpintero, C.
dc.creatorMalaver, A.
dc.creatorRosas, E.
dc.creatorSanabria, J.
dc.date2019-04-09T19:25:15Z
dc.date2019-04-09T19:25:15Z
dc.date2019
dc.date.accessioned2023-10-03T19:31:37Z
dc.date.available2023-10-03T19:31:37Z
dc.identifier2344-4967
dc.identifier1221-8421
dc.identifierhttp://hdl.handle.net/11323/3021
dc.identifierCorporación Universidad de la Costa
dc.identifierREDICUC - Repositorio CUC
dc.identifierhttps://repositorio.cuc.edu.co/
dc.identifier.urihttps://repositorioslatinoamericanos.uchile.cl/handle/2250/9170428
dc.descriptionBerkani 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.
dc.formatapplication/pdf
dc.languageeng
dc.publisherAnalele Stiintifice ale Universitatii Al I Cuza din Iasi - Matematica
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dc.rightsinfo:eu-repo/semantics/openAccess
dc.rightshttp://purl.org/coar/access_right/c_abf2
dc.subjectnew Weyl-type theorems
dc.subjectstrong variations of Weyl type theorems
dc.subjectrestrictions of operators
dc.subjectspectral properties
dc.subjectmultiplication operators
dc.titleOn the hereditary character of new strong variations of weyl type theorems
dc.typeArtículo de revista
dc.typehttp://purl.org/coar/resource_type/c_6501
dc.typeText
dc.typeinfo:eu-repo/semantics/article
dc.typeinfo:eu-repo/semantics/publishedVersion
dc.typehttp://purl.org/redcol/resource_type/ART
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dc.typehttp://purl.org/coar/version/c_ab4af688f83e57aa


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