ISOMETRIES OF NONCOMPACT LIPSCHITZ-SPACES

被引：20

作者：

WEAVER, N ^{[1
]}

机构：

[1] UNIV CALIF SANTA BARBARA,DEPT MATH,SANTA BARBARA,CA 93106

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 1995年 / 38卷 / 02期

关键词：

D O I：

10.4153/CMB-1995-035-3

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that under reasonable restrictions on the metric spaces X and Y, every surjective isometric isomorphism between Lip(X) and Lip(Y) arises in a simple manner from an isometry between X and Y. Our result differs from several previous results along these lines in that we do not require X and Y to be compact.

引用

页码：242 / 249

页数：8

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