RT journal article T1 A note on frequent hypercyclicity of operators that λ -commute with the differentiation operator A1 León Saavedra, Fernando A1 Romero de la Rosa, María Pilar A2 Matemáticas K1 Space of entire functions K1 Differentiation operator K1 Extended eigenoperators K1 Frequently hypercyclic operators AB 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. PB SPRINGER SN 1573-8795 YR 2022 FD 2022 LK http://hdl.handle.net/10498/27614 UL http://hdl.handle.net/10498/27614 LA eng DS Repositorio Institucional de la Universidad de Cádiz RD 10-may-2026