Open AccessCHARACTERIZATION OF DISKCYCLIC OPERATORS
Author(s) -
Abdallah Mohammed Abu Jahel,
As'ad Y. As'ad
Publication year - 2021
Publication title -
iug journal for natural and engineering studies
Language(s) - English
Resource type - Journals
eISSN - 2410-292X
pISSN - 2409-4587
DOI - 10.33976/iugns.29.1/2021/4
Subject(s) - mathematics , mathematical proof , characterization (materials science) , pure mathematics , geometry , physics , optics
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 sufciency 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.