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Existence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixing

dc.contributor.authorMartin, Özgür
dc.contributor.authorPuig, Yunied
dc.date.accessioned2025-01-09T20:14:32Z
dc.date.available2025-01-09T20:14:32Z
dc.date.issued2021
dc.identifier.issn0022-247X
dc.identifier.issn1096-0813
dc.identifier.urihttps://doi.org/10.1016/j.jmaa.2021.125106
dc.identifier.urihttps://hdl.handle.net/20.500.14124/9129
dc.description.abstractIn this short note, we answer a question of Martin and Sanders [Integr. Equ. Oper. Theory, 85 (2) (2016), 191-220] by showing the existence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixing and, therefore, fail to satisfy the Disjoint Hypercyclicity Criterion. We also show that given an operator Tsuch that T. Tis frequently hypercyclic, the set of operators Ssuch that T, Sare disjoint frequently hypercyclic but fail to satisfy the Disjoint Hypercyclicity Criterion is SOT dense in the algebra of bounded linear operators. (C) 2021 Elsevier Inc. All rights reserved.en_US
dc.language.isoengen_US
dc.publisherAcademic Press Inc Elsevier Scienceen_US
dc.relation.ispartofJournal of Mathematical Analysis and Applicationsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectHypercyclic operatoren_US
dc.subjectFrequently hypercyclic operatoren_US
dc.subjectDisjoint hypercyclicityen_US
dc.subjectDisjoint frequent hypercyclicityen_US
dc.titleExistence of disjoint frequently hypercyclic operators which fail to be disjoint weakly mixingen_US
dc.typearticleen_US
dc.authorid0000-0003-1605-1593
dc.departmentMimar Sinan Güzel Sanatlar Üniversitesien_US
dc.identifier.doi10.1016/j.jmaa.2021.125106
dc.identifier.volume500en_US
dc.identifier.issue1en_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.identifier.wosqualityQ1
dc.identifier.wosWOS:000634827700025
dc.identifier.scopus2-s2.0-85101838110
dc.identifier.scopusqualityQ2
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.snmzKA_20250105


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