Codiskcyclic sets of operators on complex topological vector spaces

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 $T\in L(X)$ to a set of operators $\Gamma \subset L(X).$ We prove some results for codiskcyclic sets of operators and we establish a codiskcyclicity criterion. As an application, we study the codiskcyclicity of $C_0$-semigroups of operators.

10 pages. arXiv admin note: substantial text overlap with arXiv:1905.04507, arXiv:1810.07577