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

Hamzeh Keshavarzi

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

Functional Analysis 2022-03-15 v3 Complex Variables

Authors: Hamzeh Keshavarzi

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.

Keywords

ergodic theory operator theory

Cite

@article{arxiv.2010.06938,
  title  = {Mean ergodic composition operators on $H^\infty(\mathbb{B}_n)$},
  author = {Hamzeh Keshavarzi},
  journal= {arXiv preprint arXiv:2010.06938},
  year   = {2022}
}

Comments

13 pages

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