Codiskcyclic sets of operators on complex topological vector spaces

preprint2021arXivOpen access

Abstract

Let XX be a complex topological vector space and L(X)L(X) the set of all continuous linear operators on X.X. In this paper, we extend the notion of the codiskcyclicity of a single operator T∈L(X)T\in L(X) to a set of operators Γ⊂L(X).Γ\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 C0C_0-semigroups of operators.

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