Archimedeanization of ordered vector spaces

2014/06/13 by Emelyanov, Eduard Yu.
#46A40 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.1406.3657

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.

Related

• The Archimedean order unitization of seminormed ordered vector spaces
• Note on Archimedean property in ordered vector spaces
• Vector spaces with an order unit
• Relative uniform convergence and Archimedean property in pre-ordered vector spaces and abelian groups
• On Archimedean Decompositions of Linearly Ordered Fields