CONTINUOUS LINEAR EXTENSION OF FUNCTIONS

被引：3

作者：

Koyama, A. ^{[1
]}

Stasyuk, I. ^{[2
]}

Tymchatyn, E. D. ^{[3
]}

Zagorodnyuk, A. ^{[4
]}

机构：

[1] Shizuoka Univ, Fac Sci, Shizuoka 4228059, Japan

[2] Lviv Natl Univ, Dept Mech & Math, UA-79000 Lvov, Ukraine

[3] Univ Saskatchewan, Dept Math & Stat, Saskatoon, SK S7N 5E6, Canada

[4] Ukrainian Acad Sci, Inst Appl Problems Mech & Math, UA-79060 Lvov, Ukraine

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2010年 / 138卷 / 11期

基金：

加拿大自然科学与工程研究理事会;

关键词：

Extension of functions; continuous linear operator; metric space; SPACES;

D O I：

10.1090/S0002-9939-2010-10424-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let (X, d) be a complete metric space. We prove that there is a continuous, linear, regular extension operator from the space C*(b) of all partial, continuous, real-valued, bounded functions with closed, bounded domains in X to the space C*(X) of all continuous, bounded, real-valued functions on X with the topology of uniform convergence on compact sets. This is a variant of a result of Kunzi and Shapiro for continuous functions with compact, variable domains.

引用

页码：4149 / 4155

页数：7

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