Burkholder Theorem in Riesz spaces
Functional Analysis
2021-04-12 v1
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 which do not belong to the space.
Cite
@article{arxiv.2104.04002,
title = {Burkholder Theorem in Riesz spaces},
author = {Youssef Azouzi and Kawtar Ramdane},
journal= {arXiv preprint arXiv:2104.04002},
year = {2021}
}