Conditional expectations on Riesz spaces

@article{Kuo2005ConditionalEO,
  title={Conditional expectations on Riesz spaces},
  author={Wen-Chi Kuo and Coenraad C. A. Labuschagne and Bruce A. Watson},
  journal={Journal of Mathematical Analysis and Applications},
  year={2005},
  volume={303},
  pages={509-521}
}
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54 Citations
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54 Citations

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An Andô-Douglas type theorem in Riesz spaces with a conditional expectation
In this paper we formulate and prove analogues of the Hahn-Jordan decomposition and an Andô-Douglas-Radon-Nikodým theorem in Dedekind complete Riesz spaces with a weak order unit, in the presence of…
Bernoulli Processes in Riesz Spaces
The action and averaging properties of conditional expectation operators are studied in the, measure-free, Riesz space, setting of Kuo, Labuschagne and Watson [Conditional expectations on Riesz…
Amarts on Riesz spaces
The concepts of conditional expectations, martingales and stopping times were extended to the Riesz space context by Kuo, Labuschagne and Watson (Discrete time stochastic processes on Riesz spaces,…
Ergodicity in Riesz Spaces
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 Watson in [Ergodic…
Discrete stochastic integration in Riesz spaces
In this work we continue the developments of Kuo et al. (Indag Math 15:435–451, 2004; J Math Anal Appl 303:509–521, 2005) with the construction of the martingale transform or discrete stochastic…
Ergodic theory and the Strong Law of Large Numbers on Riesz spaces
Convergence of Riesz space martingales
QUADRATIC EQUATIONS IN HILBERTIAN OPERATORS AND APPLICATIONS
In this paper bounded linear operators in Hilbert space satisfying general quadratic equations are characterized. Necessary and sufficient conditions for sets of operators satisfying two such…
On (in)dependence measures in Riesz spaces
Mixingales on Riesz spaces
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