Noncommutative Wiener-Wintner type ergodic theorems
Operator Algebras
2022-11-01 v2 Dynamical Systems
Abstract
In this article, we obtain a version of the noncommutative Banach Principle suitable to prove Wiener-Wintner type results for weights in W1-space. This is used to obtain noncommutative Wiener-Wintner type ergodic theorems for various types of weights for certain types of positive Dunford-Schwartz operators. We also study the b.a.u. (a.u.) convergence of some subsequential averages and moving averages of such operators
Cite
@article{arxiv.2106.08906,
title = {Noncommutative Wiener-Wintner type ergodic theorems},
author = {Morgan O'Brien},
journal= {arXiv preprint arXiv:2106.08906},
year = {2022}
}
Comments
Edit:v2 - 25 pages, changed the name of the article, made numerous improvements to most results, added a section on subsequential and moving averages, and added a better method of checking conditions of the operators, and added more examples