Integrals for functions with values in a partially ordered vector space
Functional Analysis
2021-10-18 v1
Abstract
We consider integration of functions with values in a partially ordered vector space, and two notions of extension of the space of integrable functions. Applying both extensions to the space of real valued simple functions on a measure space leads to the classical space of integrable functions.
Cite
@article{arxiv.1505.05997,
title = {Integrals for functions with values in a partially ordered vector space},
author = {Arnoud van Rooij and Willem van Zuijlen},
journal= {arXiv preprint arXiv:1505.05997},
year = {2021}
}