Existence of common hypercyclic subspaces for the derivative operator   and the translation operators
  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. 
Quentin Menet
math.DS math.FA