Stone--Weierstrass Approximation Revisited
Functional Analysis
2024-06-07 v1
Abstract
The aim of the present article is to extend the Stone--Weierstrass theorem to functions ranging in a lattice normed space and order rather than topological approximation. We proceed with the machinery of Boolean valued transfer from lattice normed space to normed space.
Cite
@article{arxiv.2210.14587,
title = {Stone--Weierstrass Approximation Revisited},
author = {A. G. Kusraev and S. S. Kutateladze},
journal= {arXiv preprint arXiv:2210.14587},
year = {2024}
}
Comments
14 pages