Bochner integrals in ordered vector spaces
Functional Analysis
2021-10-18 v1
Abstract
We present a natural way to cover an Archimedean directed ordered vector space by Banach spaces and extend the notion of Bochner integrability to functions with values in . The resulting set of integrable functions is an Archimedean directed ordered vector space and the integral is an order preserving map.
Keywords
Cite
@article{arxiv.1604.06341,
title = {Bochner integrals in ordered vector spaces},
author = {Arnoud van Rooij and Willem van Zuijlen},
journal= {arXiv preprint arXiv:1604.06341},
year = {2021}
}