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On the hereditary character of certain spectral properties and some applications

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dc.contributor.authorCarpintero, Carlos
dc.contributor.authorGarcia, Orlando
dc.contributor.authorRosas, Ennis
dc.contributor.authorSanabria, J
dc.contributor.authorMalaver, A
dc.contributor.researchgroupCiencias, Entorno y optimización (CEO)
dc.date.accessioned2025-09-08T15:52:23Z
dc.date.issued2021
dc.description.abstractIn this paper we study the behavior of certain spectral properties of an operator T on a proper closed and T-invariant 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. We prove that for these subspaces a large number of spectral properties are transmitted from T to its restriction on W and vice-versa. As consequence of our results, we give conditions for which semi-Fredholm spectral properties, as well as Weyl type theorems, are equivalent for two given operators. Additionally, we give conditions under which an operator acting on a subspace can be extended on the entire space preserving the Weyl type theorems. In particular, we give some applications of these results for integral operators acting on certain functions spaces.eng
dc.description.methodsQuímica y Física teórica
dc.description.researchareaEstadística Aplicada y Optimización
dc.description.researchareaMatemáticas aplicadas
dc.description.researchareaMateriales y Entorno.
dc.format.extent17 paginas
dc.format.mimetypeapplication/pdf
dc.identifier.eissn0716-0917
dc.identifier.urihttps://repositorio.cecar.edu.co/handle/cecar/10895
dc.language.isoeng
dc.publisher.placeColombia
dc.relation.citationendpage1069
dc.relation.citationissue5
dc.relation.citationstartpage1053
dc.relation.citationvolume40
dc.relation.ispartofjournalProyecciones
dc.relation.referencesP. Aiena, Fredholm and local spectral theory, with application to multipliers. Dordrecht: Springer, 2004.
dc.relation.referencesP. Aiena, “Quasi-Fredholm operators and localized SVEP”, Acta scientiarum mathematicarum, vol. 73, no. 1, pp. 251-263, 2007.
dc.relation.referencesP. Aiena, M. T. Biondi, and C. Carpintero, “On Drazin invertibility”, Proceeding of the American Mathematical Society, vol. 136, no. 8, pp. 2839-2848, 2008.
dc.relation.referencesF. Astudillo-Villalba and J. Ramos-Fernández, “Multiplication operators on the space of functions of bounded variation”, Demonstratio mathematica, vol. 50, no. 1, pp. 105-115, 2017
dc.relation.referencesB. Barnes, “The spectral and Fredholm theory of extensions of bounded linear operators”, Proceeding of the A
dc.relation.referencesB. Barnes, “Restrictions of bounded linear operators: closed range”, Proceeding of the American Mathematical Society, vol. 135, no. 6, pp. 1735-1740, 2007.
dc.relation.referencesM. Berkani, “Restriction of an operator to the range of its powers”, Studia mathematica, vol. 140, no. 2, pp. 163-175, 2000.
dc.relation.referencesM. Berkani, “On a class of quasi-Fredholm operators”, Integral equations and operator theory, vol. 34, no. 1, pp. 244-249, 1999
dc.relation.referencesM. Berkani and M. Sarih, “On semi B-Fredholm operators”, Glasgow mathematical journal, vol. 43, no. 3, pp. 457-465, 2001.
dc.relation.referencesM. Berkani and H. Zariouh, “Extended Weyl type theorems”, Mathematica bohemica, vol. 134, no. 4, pp. 369-378, 2009.
dc.relation.referencesM. Berkani and J. Koliha, “Weyl type theorems for bounded linear operators”, Acta scientiarum mathematicarum, vol. 69, no. 1-2, pp. 359-376, 2003.
dc.relation.referencesM. Berkani and H. Zariouh, “New extended Weyl type theorems”, Matematički vesnik, vol. 62, no. 2, pp. 145-154, 2010.
dc.relation.referencesM. Berkani, M. Sarih, and H. Zariouh, “Browder-type theorems and SVEP”, Mediterranea
dc.relation.referencesC. Carpintero, A. Gutiérrez, E. Rosas, y J. Sanabria, “A note on preservation of generalized Fredholm spectra in Berkani’s sense”, Filomat, vol. 32, no. 18, pp. 6431-6440, 2018.
dc.relation.referencesL. A. Coburn, “Weyl’s theorem for nonnormal operators”, Michigan mathematical journal, vol. 13, no. 3, pp. 285-288, 1966.
dc.relation.referencesL. Chen and W. Su, “A note on Weyl-type theorems and restrictions”, Annals of functional analysis, vol. 8, no. 2, pp. 190-198, 2017.
dc.relation.referencesJ. K. Finch, “The single valued extension property on a Banach space”, Pacific journal of mathematics, vol. 58, no. 1, pp. 61-69, 1975.
dc.relation.referencesA. Gupta and K. Mamtani, “Weyl-type theorems for restrictions of closed linear unbounded operators”, Acta Universitatis Matthiae Belii. Series mathematics, no. 2015, pp. 72-79, 2015.
dc.relation.referencesR. E. Harte and W. Y. Lee, “Another note on Weyl’s theorem”, Transactions of the American Mathematical Society, vol. 349, no. 5, pp. 2115-2124, 1997.
dc.relation.referencesH. Heuser, Functional analysis. New York, NY: Marcel Dekker, 1982.
dc.relation.referencesE. Hewitt and K. A. Ross, Abstract harmonic analysis, vol. 1. Berlin: Springer, 1963.
dc.relation.referencesK. Jörgens, Linear integral operator. Boston, MA: Pitman, 1982.
dc.relation.referencesV. Rakočević, “Operators obeying a-Weyl’s theorem”, Revue Roumaine de Mathématique Pures et Appliquées, vol. 34, no. 10, pp. 915-919, 1989
dc.relation.referencesV. Rakočević, “On a class of operators”, Matematički vesnik, vol. 37, no. 4, pp. 423-425, 1985.
dc.relation.referencesJ. Sanabria, C. Carpintero, E. Rosas, and O. García, “On generalized property (v) for bounded linear operators”, Studia mathematica, vol. 212, pp. 141-154, 2012.
dc.relation.referencesH. Zariouh, “Property (gz) for bounded linear operators”, Matematički vesnik, vol. 65, no. 1, pp. 94-103, 2013.
dc.relation.referencesH. Zariouh, “New version of property (az)”, Matematički vesnik, vol. 66, no. 3, pp. 317-322, 2014.
dc.relation.referencesH. Weyl, “Über beschränkte quadratische formen, deren differenz vollstetig ist”, Rendiconti del Circolo Matematico di Palermo, vol. 27, pp. 373-392, 1909.
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.sourceDOI:10.22199/issn.0717-6279-3678
dc.subject.proposalWeyl type theoremseng
dc.subject.proposalRestrictions of operatorseng
dc.subject.proposalIntegral operatorseng
dc.subject.proposalSpectral propertieseng
dc.subject.proposalSemi-Fredholm theoryeng
dc.titleOn the hereditary character of certain spectral properties and some applicationseng
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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