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arXiv · 2106.08906

Noncommutative Wiener-Wintner type ergodic theorems

Morgan O'Brien
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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

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Morgan O'Brien. 2021-06-16. Noncommutative Wiener-Wintner type ergodic theorems. https://doi.org/10.4064/sm211209-26-8

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