On an extension of the Stone-Weierstrass theorem

被引：0

作者：

Srikanth, Kuppum V. ^{[1
]}

Yadav, Raj Bhawan ^{[1
]}

机构：

[1] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, Assam, India

来源：

MATHEMATICAL COMMUNICATIONS | 2014年 / 19卷 / 02期

关键词：

Stone-Weierstrass; interpolation; dense subset; metric space;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The classical Stone-Weierstrass Theorem has been generalized and extended in different directions. Theorem 1 of [2] (D. HILL, E. PASSOW, L. RAYMON, Approximation with interpolatory constraints, Illinois J. Math. 20(1976), 65-71) may be viewed as one such extension involving finitely many interpolatory constraints. This article generalizes the latter theorem to the case where the constraints are on an arbitrary closed subset of the compact metric space under consideration. We also present an alternative proof of the cited Theorem.

引用

页码：391 / 396

页数：6