Mean ergodic composition operators on $H^{\infty }({\mathbb{B}}_n)$

Abstract

In this paper, we study (uniformly) mean ergodic composition operators on $H^{\infty }({\mathbb{B}}_n)$. Under some additional assumptions, it is shown that mean ergodic operators have norm convergent iterates in $H^{\infty }({\mathbb{B}}_n)$, and that they are always uniformly mean ergodic.

arXiv comment13 pages