On Hereditarily Codiskcyclic Operators

Baghdad Science Journal

Zeana Zaki Jamil¹ 

[1] Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq;

关键词: Codiskcyclic operators, Criterion for codiskcyclic operators, Generalize kernel, Hereditarily codiskcyclic operators.;   

DOI  :  10.21123/bsj.2022.19.2.0309

来源: DOAJ

【 摘 要 】

Many codiskcyclic operators on infinite-dimensional separable Hilbert space do not satisfy the criterion of codiskcyclic operators. In this paper, a kind of codiskcyclic operators satisfying the criterion has been characterized, the equivalence between them has been discussed and the class of codiskcyclic operators satisfying their direct summand is codiskcyclic. Finally, this kind of operators is used to prove that every codiskcyclic operator satisfies the criterion if the general kernel is dense in the space.

【 授权许可】

Unknown