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A Note on Preservation of Generalized Fredholm Spectra in Berkani’s Sense

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dc.contributor.authorCarpintero, Carlos
dc.contributor.authorRosas, Ennis
dc.contributor.authorSanabria, José
dc.contributor.authorGutierrez, A
dc.contributor.researchgroupCiencias, Entorno y optimización (CEO)
dc.date.accessioned2025-09-15T20:41:34Z
dc.date.issued2018
dc.description.abstractIn this paper, we study the relationships between the spectra derived from B-Fredholm theory corresponding to two given bounded linear operators. The main goal of this paper is to obtain sufficient conditions for which the spectra derived from B-Fredholm theory corresponding to two given operators are respectively the same. Among other results, we prove that B-Fredholm type spectral properties for an operator and its restriction are equivalent, as well as obtain conditions for which B-Fredholm type spectral properties corresponding to two given operators are the same. As application of our results, we obtain conditions for which the above mentioned spectra and the spectra derived from the classical Fredholm theory are the same.eng
dc.description.researchareaEstadística Aplicada y Optimización
dc.description.researchareaMatemáticas aplicadas
dc.description.researchareaMateriales y Entorno
dc.description.researchareaQuímica y Física teórica
dc.format.extent10 páginas
dc.format.mimetypeapplication/pdf
dc.identifier.eissn0354-5180
dc.identifier.urihttps://repositorio.cecar.edu.co/handle/cecar/10960
dc.language.isoeng
dc.publisher.placeColombia
dc.relation.citationendpage6440
dc.relation.citationissue18
dc.relation.citationstartpage6431
dc.relation.citationvolume32
dc.relation.ispartofjournalFilomat
dc.relation.referencesP. Aiena, Fredholm and Local Spectral Theory, with Application to Multipliers, (1rd edition) Kluwer Acad. Publishers, Netherlands, 2004.
dc.relation.referencesP. Aiena, Quasi-Fredholm operators and localized SVEP, Acta Sci. Math. (Szeged) 73 (2007), 251-263.
dc.relation.referencesB. Barnes, The spectral and Fredholm theory of extensions of bounded linear operators, Proc. Amer. Math. Soc 105(4) (1989), 941-949.
dc.relation.referencesB. Barnes, Restrictions of bounded linear operators: closed range, Proc. Amer. Math. Soc 135(6) (2007), 1735-1740.
dc.relation.referencesM. Berkani, Restriction of an operator to the range of its powers, Studia Math 140(2) (2000), 163-175.
dc.relation.referencesM. Berkani and M. Sarih, On semi B-Fredholm operators, Glasgow Math. J 43 (2001), 457-465.
dc.relation.referencesC. Carpintero, A. Gutierrez, E. Rosas, J. Sanabria, A note on preservation of spectra for two given operators, submitted (2018). ´
dc.relation.referencesC. Carpintero, O. Garc´ıa, E. Rosas, J. Sanabria, B-Browder spectra and localized SVEP, Rend. Circ. Mat. Palermo (2) 57 (2008), 239-254.
dc.relation.referencesJ. K. Finch, The single valued extension property on a Banach space, Pacific J. Math 58 (1975), 61-69.
dc.relation.referencesH. Heuser, Functional Analysis, (1er edition), Marcel Dekker, New York, 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:10.2298/FIL1818431C
dc.subject.proposalRestrictions of operatorseng
dc.subject.proposalSingle-valued extension propertyeng
dc.subject.proposalFredholm theoryeng
dc.subject.proposalB-Fredholm theoryeng
dc.subject.proposalGeneralized spectraeng
dc.titleA Note on Preservation of Generalized Fredholm Spectra in Berkani’s Senseeng
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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