Characterization of diskcyclic operators

الملخص EN

In this article we discuss an interesting idea related to characterization of diskcyclicity phenomena.

We use the Diskcyclic Criterion to characterize the subsets Γ of C for which the notion of Γ-supercyclicity coincides with the notion of diskcyclicity.

In particular , we give a complete description of the subset Γ.

The necessity and sufficiency conditions on the subset Γ were presented.

Some examples were exhibited to illustrate the proofs and the relationship among different classes of the operators.