20 citations · 39 across the 7 of their papers we have counts for
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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…
Generalization of the theorems of Barndorff-Nielsen and Balakrishnan-Stepanov to Riesz spaces
Nyasha Mushambi, Bruce A. Watson, Bertin Zinsou
In a Dedekind complete Riesz space, , we show that if is a sequence of band projections in then $$\limsup\limits_{n\to \infty} P_n - \liminf\limits_{n\to \infty} P_n…
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…