Two Results on Fremlin's Archimedean Riesz Space Tensor Product
Functional Analysis
2023-03-08 v3
Abstract
In this paper, we characterize when, for any infinite cardinal {\alpha}, the Fremlin tensor product of two Archimedean Riesz spaces is Dedekind {\alpha}-complete. We also provide an example of an ideal I in an Archimedean Riesz space E such that the Fremlin tensor product of I with itself is not an ideal in the Fremlin tensor product of E with itself.
Keywords
Cite
@article{arxiv.2206.06283,
title = {Two Results on Fremlin's Archimedean Riesz Space Tensor Product},
author = {Gerard Buskes and Page Thorn},
journal= {arXiv preprint arXiv:2206.06283},
year = {2023}
}