On a generalization of the Stone–Weierstrass theorem

被引：2

作者：

Asgarova A.K. ^{[1
]}

机构：

[1] Institute of Mathematics and Mechanics, National Academy of Sciences of Azerbaijan, 9, B. Vahabzadeh Str, Baku

来源：

Annales mathématiques du Québec | 2018年 / 42卷 / 1期

关键词：

Algebra; Bolt; Orbit; Quotient space; The Stone–Weierstrass theorem;

D O I：

10.1007/s40316-017-0081-2

中图分类号：

学科分类号：

摘要：

Assume X is a compact Hausdorff space and C(X) is the space of real-valued continuous functions on X. A version of the Stone–Weierstrass theorem states that a closed subalgebra A⊂ C(X) , which contains a nonzero constant function, coincides with the whole space C(X) if and only if A separates points of X. In this paper, we generalize this theorem to the case in which two subalgebras of C(X) are involved. © 2017, Fondation Carl-Herz and Springer International Publishing Switzerland.

引用

页码：1 / 6

页数：5

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