DC FieldValueLanguage
dc.contributor.authorIvković, Stefanen_US
dc.date.accessioned2023-05-11T09:34:51Z-
dc.date.available2023-05-11T09:34:51Z-
dc.date.issued2023-04-01-
dc.identifier.issn2008-8752-
dc.identifier.urihttp://researchrepository.mi.sanu.ac.rs/handle/123456789/5025-
dc.description.abstractGeneralized Weyl operators on Hilbert spaces have been introduced and studied by Djordjević (Proc Am Math Soc, 130:81–ll4, 2001). In this paper, we provide a generalization of his result in the setting of C*-operators on Hilbert C*-modules by giving sufficient conditions under which the sum of a generalized C*-Weyl operator and a finitely generated C*-operator is a generalized C*-Weyl operator. Also, we obtain an extension of Djordjević’s results from the case of operators on Hilbert spaces to the case of operators on Banach spaces. Next, we consider semi-C*-B-Fredholm operators on Hilbert C*-modules and give sufficient conditions under which the composition of two mutually commuting semi-C*-B-Fredholm operators is a semi-C*-B-Fredholm operator, thus generalizing the result by Berkani regarding semi-B-Fredholm operators on Banach spaces. Finally, we consider Drazin invertible C*-operators, and we give necessary and sufficient conditions for two mutually commuting C*-operators to be Drazin invertible when their composition is Drazin invertible.en_US
dc.publisherSpringer Linken_US
dc.relation.ispartofAnnals of Functional Analysisen_US
dc.rightsAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectDrazin invertible C -operator * | Generalized C -Weyl operator * | Hilbert C -module * | Semi-C -B-Fredholm operator *en_US
dc.titleOn Drazin invertible C* -operators and generalized C*-Weyl operatorsen_US
dc.typeArticleen_US
dc.identifier.doi10.1007/s43034-023-00258-0-
dc.identifier.scopus2-s2.0-85147886567-
dc.contributor.affiliationMathematicsen_US
dc.contributor.affiliationMathematical Institute of the Serbian Academy of Sciences and Arts-
dc.relation.firstpage36-
dc.relation.issue2-
dc.relation.volume14-
dc.description.rank~M22-
item.grantfulltextnone-
item.openairecristypehttp://purl.org/coar/resource_type/c_18cf-
item.cerifentitytypePublications-
item.openairetypeArticle-
item.fulltextNo Fulltext-
crisitem.author.orcid0000-0003-2248-8206-
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