DC Field | Value | Language |
---|---|---|
dc.contributor.author | Đorđević, Bogdan | en_US |
dc.date.accessioned | 2021-05-19T07:23:06Z | - |
dc.date.available | 2021-05-19T07:23:06Z | - |
dc.date.issued | 2021-08-01 | - |
dc.identifier.issn | 0024-3795 | - |
dc.identifier.uri | http://researchrepository.mi.sanu.ac.rs/handle/123456789/4557 | - |
dc.description.abstract | We prove that, by assuming the existence of at least one left upper semi-Fredholm operator, then under some natural conditions, the singular operator equation AX−XB=C is solvable if the appropriate matrix equation is solvable. This characterization is convenient because the matrix version of the problem has been closed in [14] and [17]. In addition, we obtain sufficient conditions for A, B and X such that the generalized derivation AX−XB is a compact operator. A connection is established with Fréchet derivatives and commutators of idempotents. Applications to Schur coupling and linear time-invariant systems are mentioned. | en_US |
dc.publisher | Elsevier | en_US |
dc.relation | Functional analysis, stochastic analysis and applications | en_US |
dc.relation.ispartof | Linear Algebra and Its Applications | en_US |
dc.subject | Fredholm theory | Operator algebras | Sylvester equations | en_US |
dc.title | Singular Sylvester equation in Banach spaces and its applications: Fredholm theory approach | en_US |
dc.type | Article | en_US |
dc.identifier.doi | 10.1016/j.laa.2021.03.035 | - |
dc.identifier.scopus | 2-s2.0-85103553080 | - |
dc.contributor.affiliation | Mathematics | en_US |
dc.contributor.affiliation | Mathematical Institute of the Serbian Academy of Sciences and Arts | - |
dc.relation.grantno | 174007 | en_US |
dc.relation.firstpage | 189 | - |
dc.relation.lastpage | 214 | - |
dc.relation.volume | 622 | - |
dc.description.rank | ~M21 | - |
item.fulltext | No Fulltext | - |
item.openairetype | Article | - |
item.grantfulltext | none | - |
item.cerifentitytype | Publications | - |
item.openairecristype | http://purl.org/coar/resource_type/c_18cf | - |
crisitem.author.orcid | 0000-0002-6751-6867 | - |
crisitem.project.funder | NIH | - |
crisitem.project.fundingProgram | NATIONAL CANCER INSTITUTE | - |
crisitem.project.openAire | info:eu-repo/grantAgreement/NIH/NATIONAL CANCER INSTITUTE/1R43CA174007-01 | - |
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