Mean ergodic composition operators on spaces of holomorphic functions on a Banach space

2020/12/21 by Jornet, David, Santacreu, Daniel, Sevilla-Peris, Pablo
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2012.11669

Abstract

We study mean ergodic composition operators on infinite dimensional spaces of holomorphic functions of different types when defined on the unit ball of a Banach or a Hilbert space: that of all holomorphic functions, that of holomorphic functions of bounded type and that of bounded holomorphic functions. Several examples in the different settings are given.

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