1. Burkholder theorem in Riesz spaces.
- Author
-
Azouzi, Youssef and Ramdane, Kawtar
- Subjects
RIESZ spaces ,SAMPLING theorem ,CONDITIONAL expectations - Abstract
The main purpose of this paper is to give a vector lattice version of a Theorem by Burkholder about convergence of martingales. The proof is based on a vector lattice analogue of Austin's sample function theorem, proved recently by Grobler, Labuschagne and Marraffa and on a new characterization of elements of the sup-completion of a universally complete vector lattice do not belong to the space. [ABSTRACT FROM AUTHOR]
- Published
- 2021
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