Archimedeanization of ordered vector spaces

TL;DR

This paper generalizes the Archimedeanization process from ordered vector spaces with an order unit to all ordered vector spaces, broadening its applicability in the field.

Contribution

It introduces a comprehensive version of Archimedeanization applicable to any ordered vector space, extending previous work limited to spaces with an order unit.

Findings

Provides a generalized Archimedeanization method

Extends applicability to all ordered vector spaces

Lays groundwork for further research in ordered vector space theory

Abstract

In the case of an ordered vector space with an order unit, the Archimedeanization method has been developed recently by V.I Paulsen and M. Tomforde. We present a general version of the Archimedeanization which covers arbitrary ordered vector spaces.