A short nonstandard proof of the Doob-Meyer and Dol{\'e}ans-Dade theorems
Logic
2026-01-05 v2
Abstract
Using nonstandard analysis, a very short and elementary proof of the Doob-Meyer decomposition and the Dol{\'e}ans Dade theorems is provided.
Cite
@article{arxiv.2508.17168,
title = {A short nonstandard proof of the Doob-Meyer and Dol{\'e}ans-Dade theorems},
author = {Takashi Matsunaga},
journal= {arXiv preprint arXiv:2508.17168},
year = {2026}
}