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Stone--Weierstrass Approximation Revisited

Authors :
Kusraev, A. G.
Kutateladze, S. S.
Publication Year :
2022

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.<br />Comment: 14 pages

Subjects

Subjects :
Mathematics - Functional Analysis
46B04

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.2210.14587
Document Type :
Working Paper
Full Text :
https://doi.org/10.2989/16073606.2023.2287846
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