{"title":"CHARACTERIZATION OF DISKCYCLIC OPERATORS","authors":"","doi":"10.33976/iugns.29.1/2021/4","DOIUrl":null,"url":null,"abstract":"In this article we discuss an interesting idea related to characte rization of diskcyclicity phenomena. We use the Diskcyclic Crit erion to characterize the subsets Γ of ℂ for which the notion of Γ-supe rcyclicity coincides with the notion of diskcyclicity. In particular , we give a complete description of the subset Γ. The necessi ty and sufficiency conditions on the subset Γ were prese nted. Some examples were exhibited to illustrate the proofs and the relationship among different classes of the operators.","PeriodicalId":440576,"journal":{"name":"IUG Journal of Natural Studies","volume":"96 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IUG Journal of Natural Studies","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.33976/iugns.29.1/2021/4","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this article we discuss an interesting idea related to characte rization of diskcyclicity phenomena. We use the Diskcyclic Crit erion to characterize the subsets Γ of ℂ for which the notion of Γ-supe rcyclicity coincides with the notion of diskcyclicity. In particular , we give a complete description of the subset Γ. The necessi ty and sufficiency conditions on the subset Γ were prese nted. Some examples were exhibited to illustrate the proofs and the relationship among different classes of the operators.
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