Affiliation:
1. University Chouaib Doukkali, Department of Mathematics, Faculty of science Eljadida, Morocco
Abstract
Let X be a complex topological vector space and L(X) the set of all
continuous linear operators on X. An operator T ? L(X) is supercyclic if
there is x ? X such that, COrb(T,x) = {?Tnx : ? ? C, n ? 0}, is dense in X.
In this paper, we extend this notion from a single operator T ? L(X) to a
subset of operators ? ? L(X). We prove that most of related proprieties to
supercyclicity in the case of a single operator T remains true for subset of
operators ?. This leads us to obtain some results for C-regularized groups
of operators.
Publisher
National Library of Serbia
Cited by
6 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. Weakly Recurrent Operators;Mediterranean Journal of Mathematics;2023-03-23
2. On super-rigid and uniformly super-rigid operators;Afrika Matematika;2023-01-26
3. On compositional dynamics on hardy space;Boletim da Sociedade Paranaense de Matemática;2022-12-29
4. Disjoint strong transitivity of composition operators;Collectanea Mathematica;2022-11-23
5. On super-recurrence of strongly continuous semigroup;Advances in Operator Theory;2022-08-26