Publicación:
Onnewstrongversions of Browder type theorems

dc.contributor.authorSanabria, José
dc.contributor.authorCarpintero, Carlos
dc.contributor.authorRodríguez, Jorge
dc.contributor.authorRosas, Ennis
dc.contributor.authorGarcía, Orlando
dc.contributor.researchgroupCiencias, Entorno y optimización (CEO)
dc.date.accessioned2025-09-16T15:08:42Z
dc.date.issued2018
dc.description.abstractAnoperator T actingonaBanachspace X satis estheproperty(UW )if a(T)∖ SF− + (T) = (T), where a(T)istheapproximatepointspectrumofT, SF− + (T)istheuppersemi-WeylspectrumofT and (T) the set of all poles of T. In this paper we introduce and study two new spectral properties, namely (V ) and (V a ),inconnection with Browder type theorems introduced in [1], [2], [3] and [4]. Among other results, we have that T satis es property (V ) if and only if T satis es property (UW ) and (T) = a(T).eng
dc.description.researchareaEstadística Aplicada y Optimización
dc.description.researchareaMatemáticas aplicadas
dc.description.researchareaMateriales y Entorno
dc.description.researchareaQuímica y Física teórica
dc.format.extent9 páginas
dc.format.mimetypeapplication/pdf
dc.identifier.citation2018Sanabriaetal.,published by DeGruyter. This work is licensed under the Creative Commons Attribution NonCommercial-NoDerivs 4.0 License.
dc.identifier.eissn2391-5455
dc.identifier.urihttps://repositorio.cecar.edu.co/handle/cecar/10970
dc.language.isoeng
dc.publisher.placeColombia
dc.relation.citationendpage297
dc.relation.citationissue1
dc.relation.citationstartpage289
dc.relation.citationvolume16
dc.relation.ispartofjournalOpen Mathematics
dc.relation.referencesBerkaniM.,KachadM.,NewBrowderandWeyltypetheorems,Bull.KoreanMath.Soc.,2015,52,439–452.
dc.relation.referencesRashidM.H.M.,PrasadT.,Property(Sw)forboundedlinearoperators,Asia-EuropeanJ.Math.,2015,8,[14pages]DOI: 10.1142/S1793557115500126.
dc.relation.referencesSanabria, J., Carpintero C., Rosas E., García O., On property (Saw) and others spectral properties type Weyl-Browder theorems, Rev. Colombiana Mat., 2017, 51 (2), 153–171.
dc.relation.referencesZariouh H., On the property (ZEa), Rend. Circ. Mat. Palermo (2), 2016, 65, 323–331, DOI:10.1007/s12215-016-0236-z.
dc.relation.referencesSanabria J., Carpintero C., Rosas E., García O., On generalized property (v) for bounded linear operators, Studia Math., 2012, 212, 141–154.
dc.relation.referencesAmouchM.,Zguitti H., On the equivalence of Browder’s theorem and generalized Browder’s theorem, Glasgow Math. J., 2006, 48, 179–185.
dc.relation.referencesAiena P., Biondi M. T., Carpintero C., On Drazin invertibility, Proc. Amer. Math. Soc., 2008, 136, 2839–2848.
dc.relation.referencesBerkani M., Zariouh H., New extended Weyl type theorems, Mat. Vesnik, 2010, 62, 145–154.
dc.relation.referencesZariouh H., Property (gz) for bounded linear operators, Mat. Vesnik, 2013, 65, 94–103.
dc.relation.referencesZariouh H., New version of property (az), Mat. Vesnik, 2014, 66, 317–322.
dc.relation.referencesSanabria J., Vásquez L., Carpintero C., Rosas E., García O., On Strong Variations of Weyl type theorems, Acta Math. Univ. Comenian. (N.S.), 2017, 86, 345–356.
dc.relation.referencesFinch J. K., The single valued extension property on a Banach space, Paci c J. Math., 1975, 58, 61–69.
dc.relation.referencesAiena P., Fredholm and Local Spectral Theory, with Applications to Multipliers, Kluwer Academic Publishers, 2004.
dc.relation.referencesAiena P., Carpintero C., Rosas E., Some characterization of operators satisfying a-Browder’s theorem, J. Math. Anal. Appl., 2005, 311, 530–544.
dc.relation.referencesHarte R., Lee W. Y., Another note on Weyl’s theorem, Trans. Amer. Math. Soc., 1997, 349, 2115–2124.
dc.relation.referencesBerkani M., Koliha J., Weyl type theorems for bounded linear operators, Acta Sci. Math. (Szeged), 2003, 69, 359–376.
dc.relation.referencesRashid M. H. M., Prasad T., Variations of Weyl type theorems, Ann Funct. Anal. Math., 2013, 4, 40-52.
dc.relation.referencesZariouh H., Zguitti H., Variations on Browder’s theorem, Acta Math. Univ. Comenian. (N.S.), 2012, 81, 255–264.
dc.relation.referencesBerkani M., Zariouh H., Extended Weyl type theorems, Math. Bohem., 2009, 134, 369–378.
dc.relation.referencesDjordjević S. V., Han Y. M., Browder’s theorems and spectral continuity, Glasgow Math. J., 2000, 42, 479–486.
dc.relation.referencesBerkani M., Kachad M., Zariouh H., Zguitti H., Variations on a-Browder-type theorems, Sarajevo J. Math., 2013, 9, 271 281.
dc.relation.referencesCoburn L. A., Weyl’s theorem for nonnormal operators, Michigan Math. J., 1966, 13, 285–288.
dc.relation.referencesGupta A., Kashayap N., Property (Bw) and Weyl type theorems, Bull. Math. Anal. Appl., 2011, 3, 1–7
dc.relation.referencesRakočević V., On a class of operators, Mat. Vesnik, 1985, 37, 423–426.
dc.relation.referencesRakočević V., Operators obeying a-Weyl’s theorem, Rev. Roumaine Math. Pures Appl., 1989, 34, 915–919.
dc.relation.referencesBerkani M., Kachad M., New Weyl-type Theorems- I, Funct. Anal. Approx. Comput., 2012, 4 (2), 41–47
dc.relation.referencesAmouchM.,Berkani M., Onthe property (gw), Mediterr. J. Math., 2008, 5, 371–378.
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:10.1515/math-2018-0029
dc.subject.proposalSemi-Fredholm operatoreng
dc.subject.proposalBrowder’s theoremeng
dc.subject.proposalProperty (W )eng
dc.subject.proposalProperty (UW )eng
dc.subject.proposalProperty (V )eng
dc.titleOnnewstrongversions of Browder 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
dspace.entity.typePublication

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