English

Handelman's theorem for an order unit normed space

Functional Analysis 2016-09-27 v1

Abstract

We give a detailed proof D. Handelman's theorem stating (in the context of an order unit normed space) that a monotone sigma-complete order unit normed space is a Banach space.

Keywords

Cite

@article{arxiv.1609.08014,
  title  = {Handelman's theorem for an order unit normed space},
  author = {David J. Foulis and Sylvia Pulmannová},
  journal= {arXiv preprint arXiv:1609.08014},
  year   = {2016}
}
R2 v1 2026-06-22T16:01:32.699Z