DC Field | Value | Language |
---|---|---|
dc.contributor.author | Ivković, Stefan | en_US |
dc.date.accessioned | 2023-05-11T09:34:51Z | - |
dc.date.available | 2023-05-11T09:34:51Z | - |
dc.date.issued | 2023-04-01 | - |
dc.identifier.issn | 2008-8752 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/5025 | - |
dc.description.abstract | Generalized 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.publisher | Springer Link | en_US |
dc.relation.ispartof | Annals of Functional Analysis | en_US |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 International | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Drazin invertible C -operator * | Generalized C -Weyl operator * | Hilbert C -module * | Semi-C -B-Fredholm operator * | en_US |
dc.title | On Drazin invertible C* -operators and generalized C*-Weyl operators | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1007/s43034-023-00258-0 | - |
dc.identifier.scopus | 2-s2.0-85147886567 | - |
dc.contributor.affiliation | Mathematics | en_US |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.firstpage | 36 | - |
dc.relation.issue | 2 | - |
dc.relation.volume | 14 | - |
dc.description.rank | ~M22 | - |
item.grantfulltext | none | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
item.cerifentitytype | Publications | - |
item.openairetype | Article | - |
item.fulltext | No Fulltext | - |
crisitem.author.orcid | 0000-0003-2248-8206 | - |
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