%0 Journal Article 
%A León Saavedra, Fernando
%A Romero de la Rosa, María Pilar
%T A note on frequent hypercyclicity of operators that λ -commute with the differentiation operator
%D 2022
%@ 1573-8795
%U http://hdl.handle.net/10498/27614
%X A continuous linear operator on a Fréchet space X is frequently hypercyclic if there exists a vector x such that for any nonempty open subset U⊂ X the set of n∈ N∪ { 0 } for which Tnx∈ U has a positive lower density. Here we determine when an operator that commutes up to a factor with the differentiation operator D, defined on the space of entire functions, is frequently hypercyclic.
%K Space of entire functions
%K Differentiation operator
%K Extended eigenoperators
%K Frequently hypercyclic operators
%~ Universidad de Cádiz