Automorphisms of algebras of smooth functions and equivalent functions

被引：1

作者：

Cabello Sanchez, Felix ^{[1
]}

机构：

[1] Univ Extremadura, Dept Matemat, E-06071 Badajoz, Spain

来源：

DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS | 2012年 / 30卷 / 02期

关键词：

Algebras of smooth functions; Automorphisms; LOCAL ISOMETRIES; SPACES; REFLEXIVITY; ISOMORPHISMS;

D O I：

10.1016/j.difgeo.2012.03.003

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that a linear map on C-infinity(X) which agrees at every function with some automorphism (depending on the given function) is itself an automorphism. (C) 2012 Elsevier B.V. All rights reserved.

引用

页码：216 / 221

页数：6

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