Existence of common hypercyclic subspaces for the derivative operator and the translation operators

摘要

We show that the non-zero multiples of the derivative operator and thenon-zero multiples of non-trivial translation operators on the space of entirefunctions share a common hypercyclic subspace, i.e. a closedinfinite-dimensional subspace in which each non-zero vector has a dense orbitfor each of these operators.