paper

Stone--Weierstrass Approximation Revisited

arXiv:2210.14587 · doi:10.2989/16073606.2023.2287846

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.

14 pages