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arXiv · 2312.12454

Some characterizations of ergodicity in Riesz spaces

Youssef Azouzi·Marwa Masmoudi
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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.

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Youssef Azouzi, Marwa Masmoudi. 2023-12-15. Some characterizations of ergodicity in Riesz spaces. https://arxiv.org/abs/2312.12454

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