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dc.contributor.authorMengestie, Tesfa Yigrem
dc.date.accessioned2021-09-01T08:23:32Z
dc.date.available2021-09-01T08:23:32Z
dc.date.created2020-12-11T08:04:30Z
dc.date.issued2021
dc.identifier.citationMengestie, T. (2021). Convex-cyclic weighted composition operators and their adjoints. Mediterranean Journal of Mathematics, 18(4).en_US
dc.identifier.issn1660-5446
dc.identifier.urihttps://hdl.handle.net/11250/2772136
dc.description.abstractWe characterize the convex-cyclic weighted composition operators W(u,ψ) and their adjoints on the Fock space in terms of the derivative powers of ψ and the location of the eigenvalues of the operators on the complex plane. Such a description is also equivalent to identifying the operators or their adjoints for which their invariant closed convex sets are all invariant subspaces. We further show that the space supports no supercyclic weighted composition operators with respect to the pointwise convergence topology and, hence, with the weak and strong topologies, and answers a question raised by T. Carrol and C. Gilmore in [5].en_US
dc.language.isoengen_US
dc.publisherSpringeren_US
dc.rightsNavngivelse 4.0 Internasjonal*
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/deed.no*
dc.subjectFock spaceen_US
dc.subjectconvex-cyclicen_US
dc.subjectweak supercyclicen_US
dc.subjectadjointen_US
dc.subjectweighted composition operatorsen_US
dc.subjecteigenvector and eigenvalueen_US
dc.titleConvex-cyclic weighted composition operators and their adjointsen_US
dc.typePeer revieweden_US
dc.typeJournal articleen_US
dc.description.versionpublishedVersionen_US
dc.rights.holder© The Author(s) 2021en_US
dc.subject.nsiVDP::Matematikk og Naturvitenskap: 400::Matematikk: 410en_US
dc.source.pagenumber11en_US
dc.source.volume18en_US
dc.source.journalMediterranean Journal of Mathematicsen_US
dc.identifier.doi10.1007/s00009-021-01812-7
dc.identifier.cristin1858555
cristin.ispublishedtrue
cristin.fulltextoriginal
cristin.qualitycode1


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