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A Note On Preservation Of Spectra For Two Given Operators

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dc.contributor.authorCarpintero, Carlos
dc.contributor.authorGutiérrez, Alexander
dc.contributor.authorRosas, Ennis
dc.contributor.authorSanabria, José
dc.contributor.researchgroupCiencias, Entorno y optimización (CEO)
dc.date.accessioned2025-09-08T19:42:29Z
dc.date.issued2020
dc.description.abstractWe study the relationships between the spectra derived from Fredholm theory corresponding to two given bounded linear operators acting on the same space. The main goal of this paper is to obtain sufficient conditions for which the spectra derived from Fredholm theory and other parts of the spectra corresponding to two given operators are preserved. As an application of our results, we give conditions for which the above mentioned spectra corresponding to two multiplication operators acting on the space of functions of bounded p-variation in Wiener’s sense coincide. Additional illustrative results are given too.eng
dc.description.researchareaEstadística Aplicada y Optimización
dc.description.researchareaMatemáticas aplicadas
dc.description.researchareaMateriales y Entorno.
dc.description.researchareaQuímica y Física teórica
dc.format.extent14 paginas
dc.format.mimetypeapplication/pdf
dc.identifier.citationThe author(s) 2019. This is an open access article under the CC BY-NC-ND licence
dc.identifier.eissn0862-7959
dc.identifier.urihttps://repositorio.cecar.edu.co/handle/cecar/10907
dc.language.isoeng
dc.publisher.placeColombia
dc.relation.citationendpage126
dc.relation.citationissue2
dc.relation.citationstartpage113
dc.relation.citationvolume145
dc.relation.ispartofjournalMathematica Bohemica
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dc.relation.referencesP. Aiena, M. T. Biondi, C. Carpintero: On Drazin invertibility. Proc. Am. Math. Soc. 136 (2008), 2839-2848.
dc.relation.referencesF. R. Astudillo-Villaba, R. E. Castillo, J. C. Ramos-Fernández: Multiplication operators on the spaces of functions of bounded p-variation in Wiener’s sense. Real Anal. Exch. 42 (2017), 329–344 .
dc.relation.referencesB. A. Barnes: The spectral and Fredholm theory of extensions of bounded linear operators. Proc. Am. Math. Soc. 105 (1989), 941–949
dc.relation.referencesB. A. Barnes: Restrictions of bounded linear operators: Closed range. Proc. Am. Math. Soc. 135 (2007), 1735–1740.
dc.relation.referencesM. Berkani: On a class of quasi-Fredholm operators. Integral Equations Oper. Theory 34 (1999), 244–249.
dc.relation.referencesM. Berkani, M. Sarih: On semi B-Fredholm operators. Glasg. Math. J. 43 (2001), 457–465.
dc.relation.referencesC. Carpintero, D. Mu˜noz, E. Rosas, J. Sanabria, O. García: Weyl type theorems and restrictions. Mediterr. J. Math. 11 (2014), 1215–1228.
dc.relation.referencesJ. K. Finch: The single valued extension property on a Banach space. Pac. J. Math. 58 (1975), 61–69.
dc.relation.referencesH. G. Heuser: Functional Analysis. A Wiley-Interscience Publication. John Wiley & Sons, Chichester, 1982.
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:10.21136/MB.2019.0038-18
dc.subject.proposalRestriction of an operatoreng
dc.subject.proposalSpectral propertyeng
dc.subject.proposalSemi-Fredholm spectraeng
dc.subject.proposalMultiplication operatoreng
dc.titleA Note On Preservation Of Spectra For Two Given Operatorseng
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
dspace.entity.typePublication

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