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math.FA2020
On the Koopman-von Neumann convergence condition of Cesàro means in Riesz spaces
Jonathan Homann, Wen-Chi Kuo, Bruce A. Watson
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 characterisat…
math.DS2020
Ergodicity in Riesz spaces
Jonathan Homann, Wen-Chi Kuo, Bruce A. Watson
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 W…