CHARACTERIZATION OF DISKCYCLIC OPERATORS

Abdallah Mohammed Abu Jahel, As'ad Y. As'ad

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.

 

Doi:

https://doi.org/10.33976/IUGNS.29.1/2021/4   


Keywords


Γ-supercyclicity, diskcyclic operators, hypercyclic scalar set, supercyclic operators

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