Let be the set of all entire functions endowed with the topology of uniform convergence on compact sets. Let , let be the composition operator , and let be the derivative operator. We extend results on the hypercyclicity of the nonconvolution operators by showing that whenever , the collection of operators
forms an algebra under the usual addition and multiplication of operators which consists entirely of hypercyclic operators (i.e., each operator has a dense orbit). We also show that the collection of operators
consists entirely of hypercyclic operators.
"Two families of hypercyclic nonconvolution operators." Involve 14 (2) 349 - 360, 2021. https://doi.org/10.2140/involve.2021.14.349