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 ∈ 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 C 0 -semigroups of operators.2010 Mathematics Subject Classification. 47A16.