20 citations · 39 across the 7 of their papers we have counts for
8 papers · 1 filter
A Structural Observation on port-Hamiltonian Systems
Rainer Picard, Sascha Trostorff, Bruce Watson +1
We study port-Hamiltonian systems on a familiy of intervals and characterise all boundary conditions leading to -accretive realisations of the port-Hamiltonian operator and thus…
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…
The Hájek-Rényi-Chow maximal inequality and a strong law of large numbers in Riesz spaces
Wen-Chi Kuo, David F. Rodda, Bruce A. Watson
In this paper we generalize the Hájek-Rényi-Chow maximal inequality for submartingales to type Riesz spaces with conditional expectation operators. As applications we obtain…
Near-Epoch Dependence in Riesz Spaces
Wen-Chi Kuo, Michael Rogans, Bruce Alastair Watson
The abstraction of the study of stochastic processes to Banach lattices and vector lattices has received much attention by Grobler, Kuo, Labuschagne, Stoica, Troitsky and Watson ov…
Strong sequential completeness of the natural domain of a conditional expectation operator in Riesz spaces
Wen-Chi Kuo, David Rodda, Bruce A. Watson
Strong convergence and convergence in probability were generalized to the setting of a Riesz space with conditional expectation operator, , in [{{\sc Y. Azouzi, W.-C. Kuo, K. Ra…