Codiskcyclic sets of operators on complex topological vector spaces

Authors

  • Mohamed Amouch Chouaib Doukkali University.
  • Otmane Benchiheb Chouaib Doukkali University.

DOI:

https://doi.org/10.22199/issn.0717-6279-5011

Keywords:

hypercyclity, supercyclicity, diskcyclicity, codiskcyclicity, C0-semigroup

Abstract

Let X be a complex topological vector space and L(X) the set of all continuous linear operators on X. In this paper, we extend the notion of the codiskcyclicity of a single operator T ∈ L(X) to a set of operators Γ ⊂ L(X). We prove some results for codiskcyclic sets of operators and we establish a codiskcyclicity criterion. As an application, we study the codiskcyclicity of C0-semigroups of operators.

Author Biographies

Mohamed Amouch, Chouaib Doukkali University.

Department of Mathematics, Faculty of Science El Jadida.

Otmane Benchiheb, Chouaib Doukkali University.

Department of Mathematics, Faculty of Science El Jadida.

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Published

2022-11-07

How to Cite

[1]
M. . Amouch and O. Benchiheb, “Codiskcyclic sets of operators on complex topological vector spaces”, Proyecciones (Antofagasta, On line), vol. 41, no. 6, pp. 1439-1456, Nov. 2022.

Issue

Section

Artículos