Tensor products of function systems revisited
Operator Algebras
2015-07-21 v3 Functional Analysis
Abstract
Based on the Archimedeanization developed by Paulsen and Tomforde, we give an explicit description for the positive cones of maximal tensor products of function systems. From this description, we obtain an approximation theorem for nuclear maps between function systems. As an application, we give elementary proofs on several characterizations of nuclear function systems that are already known.
Keywords
Cite
@article{arxiv.0906.1858,
title = {Tensor products of function systems revisited},
author = {Kyung Hoon Han},
journal= {arXiv preprint arXiv:0906.1858},
year = {2015}
}
Comments
The original paper "Tensor products and nuclearity of ordered vector spaces with Archimedean order unit" completely revised; 17 pages; To appear in Positivity