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arXiv · 2010.12215

On the Koopman-von Neumann convergence condition of Cesàro means in Riesz spaces

Jonathan Homann·Wen-Chi Kuo·Bruce A. Watson
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Abstract

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. The results are applied to convergence in $L^1$.

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BibTeXRIS

Jonathan Homann, Wen-Chi Kuo, Bruce A. Watson. 2020-10-23. On the Koopman-von Neumann convergence condition of Cesàro means in Riesz spaces. https://arxiv.org/abs/2010.12215

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