, Volume 14, Issue 4, pp 705-714,
Open Access This content is freely available online to anyone, anywhere at any time.
Date: 01 Oct 2010

Tensor products of Archimedean partially ordered vector spaces

Abstract

We study the tensor product of two directed Archimedean partially ordered vector spaces X and Y by means of Riesz completions. With the aid of the Fremlin tensor product of the Riesz completions of X and Y we show that the projective cone in XY is contained in an Archimedean cone. The smallest Archimedean cone containing the projective cone satisfies an appropriate universal mapping property.