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Disjoint frequently hypercyclic pseudo-shifts

dc.contributor.authorMartin, Özgür
dc.contributor.authorMenet, Quentin
dc.contributor.authorPuig, Yunied
dc.date.accessioned2025-01-09T20:14:32Z
dc.date.available2025-01-09T20:14:32Z
dc.date.issued2022
dc.identifier.issn0022-1236
dc.identifier.issn1096-0783
dc.identifier.urihttps://doi.org/10.1016/j.jfa.2022.109474
dc.identifier.urihttps://hdl.handle.net/20.500.14124/9127
dc.description.abstractWe obtain a Disjoint Frequent Hypercyclicity Criterion and show that it characterizes disjoint frequent hypercyclicity for a family of unilateral pseudo-shifts on c(0)(N) and l(p)(N), 1 <= p < infinity. As an application, we characterize disjoint frequently hypercyclic weighted shifts. We give analogous results for the weaker notions of disjoint upper frequent and reiterative hypercyclicity. Finally, we provide counterexamples showing that, although the frequent hypercyclicity, upper frequent hypercyclicity, and reiterative hypercyclicity coincide for weighted shifts on l(p)(N), this equivalence fails for disjoint versions of these notions. (C) 2022 Elsevier Inc. All rights reserved.en_US
dc.description.sponsorshipMimar Sinan Fine Arts University Scientific Research Project [2018-15]; project FRONT of the French National Research Agency [ANR-17-CE40-0021]en_US
dc.description.sponsorship1 The first author was partially supported by Mimar Sinan Fine Arts University Scientific Research Project [grant no. 2018-15] . 2 The second author is a Research Associate of the Fonds de la Recherche Scientifique-FNRS. This work was supported in part by the project FRONT of the French National Research Agency (grant ANR-17-CE40-0021) .en_US
dc.language.isoengen_US
dc.publisherAcademic Press Inc Elsevier Scienceen_US
dc.relation.ispartofJournal of Functional Analysisen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectDisjoint hypercyclicityen_US
dc.subjectFrequent hypercyclicityen_US
dc.subjectWeighted shiften_US
dc.titleDisjoint frequently hypercyclic pseudo-shiftsen_US
dc.typearticleen_US
dc.authorid0000-0002-5742-5275
dc.authorid0000-0003-1605-1593
dc.departmentMimar Sinan Güzel Sanatlar Üniversitesien_US
dc.identifier.doi10.1016/j.jfa.2022.109474
dc.identifier.volume283en_US
dc.identifier.issue1en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosqualityQ1
dc.identifier.wosWOS:000792625900007
dc.identifier.scopus2-s2.0-85127304321
dc.identifier.scopusqualityQ1
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US


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