English

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

Functional Analysis 2021-03-04 v2

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.

Keywords

Cite

@article{arxiv.2012.11669,
  title  = {Mean ergodic composition operators on spaces of holomorphic functions on a Banach space},
  author = {David Jornet and Daniel Santacreu and Pablo Sevilla-Peris},
  journal= {arXiv preprint arXiv:2012.11669},
  year   = {2021}
}