论文标题
Riesz空间中的Ergodicity
Ergodicity in Riesz spaces
论文作者
论文摘要
Hopf，Wiener和Birkhoff的奇异定理扩展到了Riesz空间的背景下，其订单单位和有条件的期望运营商由Kuo，Labuschagne和Watson [Ergodic Theory in [Ergodic Theory and of Grone Theire and of Riesz Space上的大量定律）扩展到了有条件的期望运营商。数学分析与应用杂志，325，（2007），422-437。]。但是，不考虑Riesz空间中构成奇迹性的确切概念。在这篇简短的论文中，我们填写了这种遗漏，并对选择的选择提供了一些解释。此外，我们考虑了Riesz空间设置中的混合与牙术之间的相互作用。
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 of the choices made. In addition, we consider the interplay between mixing and ergodicity in the Riesz space setting.
