20 citations · 46 across the 19 of their papers we have counts for
22 papers
A Hahn-Jordan decomposition and Riesz-Frechet representation theorem in Riesz spaces
Anke Kalauch, Wen-Chi Kuo, Bruce Alastair Watson
We give a Hahn-Jordan decomposition in Riesz spaces which generalizes that of [{{\sc B. A. Watson}, {An Andô-Douglas type theorem in Riesz spaces with a conditional expectation,} {…
The Kac formula and Poincaré recurrence theorem in Riesz spaces
Youssef Azouzi, Mohamed Amine Ben Amor, Jonathan Homann +2
Riesz space (non-pointwise) generalizations for iterative processes are given for the concepts of recurrence, first recurrence and conditional ergodicity. Riesz space conditional v…
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…
Characterisation of conditional weak mixing via ergodicity of the tensor product in Riesz Spaces
Mohamed Amine Ben Amor, Jonathan M. Homann, Wenchi Kuo +1
We link conditional weak mixing and ergodicity of the tensor product in Riesz spaces. In particular, we characterise conditional weak mixing of a conditional expectation preserving…
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…