Mean ergodic composition operators on H^∞(\mathbbB_n)

2020/10/14 by Keshavarzi, Hamzeh
#Complex Variables (math.CV) #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2010.06938

Abstract

In this paper, we study (uniformly) mean ergodic composition operators on H^∞(\mathbbB_n). Under some additional assumptions, it is shown that mean ergodic operators have norm convergent iterates in H^∞(\mathbbB_n), and that they are always uniformly mean ergodic.

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