Invariant subspaces of operators quasi-similar to L-weakly and M-weakly compact operators

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dc.authorscopusid41761113600
dc.authorwosidBayram, Erdal/ABA-6029-2020
dc.contributor.authorBayram, Erdal
dc.date.accessioned2022-05-11T14:31:23Z
dc.date.available2022-05-11T14:31:23Z
dc.date.issued2018
dc.departmentFakülteler, Fen Edebiyat Fakültesi, Matematik Bölümü
dc.description.abstractLet T be an L-weakly compact operator defined on a Banach lattice E without order continuous norm. We prove that the bounded operator S defined on a Banach space X has a nontrivial closed invariant subspace if there exists an operator in the commutant of S that is quasi-similar to T. Additively, some similar and relevant results are extended to a larger classes of operators called super right-commutant. We also show that quasi-similarity need not preserve L-weakly or M-weakly compactness.
dc.description.sponsorshipScientific and Technological Research Council of TurkeyTurkiye Bilimsel ve Teknolojik Arastirma Kurumu (TUBITAK); Research Foundation of Namik Kemal UniversityNamik Kemal University [NKUBAP.00.10.AR.15.04]
dc.description.sponsorshipThe author is grateful to Professor AW Wickstead for some useful comments and suggestions, which improved the paper. Author was supported by the Scientific and Technological Research Council of Turkey in the context of the 2219-Postdoctoral Fellowship Program and by the Research Foundation of Namik Kemal University (Project No: NKUBAP.00.10.AR.15.04).
dc.identifier.doi10.3906/mat-1611-70
dc.identifier.endpage138
dc.identifier.issn1300-0098
dc.identifier.issn1303-6149
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85040866905
dc.identifier.scopusqualityQ2
dc.identifier.startpage131
dc.identifier.urihttps://doi.org/10.3906/mat-1611-70
dc.identifier.urihttps://hdl.handle.net/20.500.11776/7429
dc.identifier.volume42
dc.identifier.wosWOS:000423158800012
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.institutionauthorBayram, Erdal
dc.language.isoen
dc.publisherScientific Technical Research Council Turkey-Tubitak
dc.relation.ispartofTurkish Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccess
dc.subjectInvariant subspace
dc.subjectL-weakly compact operator
dc.subjectM-weakly compact operator
dc.subjectquasi-similarity
dc.titleInvariant subspaces of operators quasi-similar to L-weakly and M-weakly compact operators
dc.typeArticle

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