Algebrable sets of hypercyclic vectors for convolution operators

Abstract

We show that several convolution operators on the space of entire functions, such as the MacLane operator, support a dense hypercyclic algebra that is not finitely generated. Birkhoff's operator also has this property on the space of complex-valued smooth functions on the real line.

Cited by in corpus (2)

• Linear Dynamical Systems
• Hypercyclic Algebras for convolution operators of unimodular constant term