CHARACTERIZATION OF DISKCYCLIC OPERATORS

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.