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Stone-Weierstrass approximation revisited


Anatoly G. Kusraev
Semen S. Kutateladze

Abstract

The aim of the present article is to extend the Stone-Weierstrass theorem to functions ranging in a lattice normed space and admitting  order rather than topological approximation. We proceed with the machinery of Boolean-valued transfer from lattice normed space to normed space.


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eISSN: 1727-933X
print ISSN: 1607-3606