David Jornet, Daniel Santacreu, Pablo Sevilla-Peris
Published 2020-12-21Version 1
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.
On algebras of holomorphic functions of a given type
Smooth norms and approximation in Banach spaces of the type C(K)
Embedding $\ell_{\infty}$ into the space of all Operators on Certain Banach Spaces
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