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Publikováno v:
Journal of Mathematical Analysis and Applications. 524:127074
Publikováno v:
Proceedings of the American Mathematical Society, Series B. 8:75-85
We extend the Koopman-von Neumann convergence condition on the Cesàro mean to the context of a Dedekind complete Riesz space with weak order unit. As a consequence, a characterisation of conditional weak mixing is given in the Riesz space setting. T
Publikováno v:
Trends in Mathematics ISBN: 9783030709730
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
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https://explore.openaire.eu/search/publication?articleId=doi_________::c8c16d2eb221c993424c777f91be2c8b
https://doi.org/10.1007/978-3-030-70974-7_9
https://doi.org/10.1007/978-3-030-70974-7_9