Ergodicity in Riesz Spaces

@article{Homann2020ErgodicityIR,
  title={Ergodicity in Riesz Spaces},
  author={Jonathan Homann and Wen-Chi Kuo and Bruce Alastair Watson},
  journal={arXiv: Dynamical Systems},
  year={2020}
}
The ergodic theorems of Hopf, Wiener and Birkhoff were extended to the context of Riesz spaces with a weak order unit and conditional expectation operator by Kuo, Labuschagne and Watson in [Ergodic Theory and the Strong Law of Large Numbers on Riesz Spaces. Journal of Mathematical Analysis and Applications, 325,(2007), 422-437.]. However, the precise concept of what constitutes ergodicity in Riesz spaces was not considered. In this short paper we fill in this omission and give some explanations… 
1 Citations

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