Existence of common hypercyclic subspaces for the derivative operator and the translation operators (1611.08564v1)

Abstract: We show that the non-zero multiples of the derivative operator and the non-zero multiples of non-trivial translation operators on the space of entire functions share a common hypercyclic subspace, i.e. a closed infinite-dimensional subspace in which each non-zero vector has a dense orbit for each of these operators.