Stone-Weierstrass approximation revisited

被引：0
|
作者：
Kusraev, Anatoly G. [1 ,2 ]
Kutateladze, Semen S. [3 ]
机构：
[1] Russian Acad Sci, Vladikavkaz Sci Ctr, Southern Math Inst, Vladikavkaz, Russia
[2] Russian Acad Sci, Vladikavkaz Sci Ctr, North Caucasus Ctr Math Res, Vladikavkaz, Russia
[3] Russian Acad Sci, Sobolev Inst Math, Siberian Branch, Novosibirsk, Russia
来源：
QUAESTIONES MATHEMATICAE | 2024年 / 47卷
关键词：
Stone-Weierstrass theorem; lattice normed space; order approximation; Boolean valued analysis; extreme operator; pure state;
D O I：
10.2989/16073606.2023.2287846
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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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页码：265 / 281
页数：17
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