Some characterizations of ergodicity in Riesz spaces
Functional Analysis
2023-12-21 v1
Abstract
In the recent surge of papers on ergodic theory within Riesz spaces, this article contributes by introducing enhanced characterizations of ergodicity. Our work extends and strengthens prior results from both the authors and Homann, Kuo, and Watson. Specifically, we show that in a conditional expectation preserving system (E,T,S,e), S can be extended to the natural domain of T and operates as an isometry on L^{p}(T) spaces.
Cite
@article{arxiv.2312.12454,
title = {Some characterizations of ergodicity in Riesz spaces},
author = {Youssef Azouzi and Marwa Masmoudi},
journal= {arXiv preprint arXiv:2312.12454},
year = {2023}
}
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14 pages