Homomorphisms on Lipschitz spaces

被引：3

作者：

González, JB ^{[1
]}

Ramírez, JRA ^{[1
]}

机构：

[1] Univ Autonoma Puebla, Puebla 72570, Mexico

来源：

MONATSHEFTE FUR MATHEMATIK | 2000年 / 129卷 / 01期

关键词：

homomorphisms; Lipschitz spaces; realcompactness;

D O I：

10.1007/s006050050003

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Denote by Lip(c)(X, d)(Lip(b)(X, d)) the family of all real valued functions on a metric space (X, d) which satisfy a Lipschitz condition on the compact (bounded) subsets of X. We prove that every homomorphism on Lip(c)(X, d) (Lip(b)(X, d)) is the evaluation at some point of X if and only if X is realcompact (every closed bounded subset of X is compact).

引用

页码：25 / 30

页数：6

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