论文标题
在瑞斯（Riesz
On the Koopman-von Neumann convergence condition of Cesàro means in Riesz spaces
论文作者
论文摘要
我们将CESàRO的Koopman-Von Neumann收敛条件扩展到具有弱订单单元的Dedekind完整Riesz空间的上下文。结果，在Riesz空间设置中给出了条件弱混合的表征。结果应用于$ l^1 $的收敛。
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 $L^1$.
