Uniform vector-valued pointwise ergodic theorems for operators
Functional Analysis
2025-03-20 v3 Dynamical Systems
Abstract
We prove a uniform vector-valued Wiener-Wintner Theorem for a class of operators that includes compositions of ergodic Koopman operators with contractive multiplication operators. Our results are new even in the case of complex-valued functions, as they also apply to some non-positive non-contractive operators, and they give new uniform pointwise theorems for ergodic, weakly mixing, and mildly mixing Koopman operators.
Cite
@article{arxiv.2404.05877,
title = {Uniform vector-valued pointwise ergodic theorems for operators},
author = {Micky Barthmann and Sohail Farhangi},
journal= {arXiv preprint arXiv:2404.05877},
year = {2025}
}
Comments
This is the journal edition of the article, but the formatting is not the same, so it is 5 pages longer than the journal edition