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arXiv · 2010.06938

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

Hamzeh Keshavarzi
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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.

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Hamzeh Keshavarzi. 2020-10-14. Mean ergodic composition operators on $H^\infty(\mathbb{B}_n)$. https://arxiv.org/abs/2010.06938

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