Inverse of $\mathcal{U}$-frequently hypercyclic operators

Abstract

We show that there exists an invertible $\mathcal{U}$-frequently hypercyclic operator on ${\ell }^p(\mathbb{N})$ ($1\le p<\infty$) whose inverse is not $\mathcal{U}$-frequently hypercyclic.

References in corpus (1)

• Linear dynamical systems on Hilbert spaces: typical properties and explicit examples