Please use this identifier to cite or link to this item:
|Title||المؤثرات ذات القوة r الدائرية|
|Title in Arabic||المؤثرات ذات القوة r الدائرية|
In this paper, we prove that any bounded linear operator on a separable Banach space is circle-cyclic if and only if it is hypercyclic. As a continuation of studying cyclic phenomena we define and study a new concept called a power r-cyclic operator. We show that any power r-cyclic operator is supercyclic, but the converse need not be true in general. We give an example of a power r-cyclic operator which is not hypercyclic. Also we give necessary and sufficient conditions for the power r-cyclic operator to be hypercyclic and we give necessary and sufficient conditions for the operator to be power r-cyclic. Finally, we get some results concerning some spectral properties of power r-cyclic operators.
|Published in||IUG Journal for Natural and Engineering Studies|
|Series||Volume: 18, Number: 1|
|Publisher||الجامعة الإسلامية - غزة|
|Files in this item|