Automorphisms in spaces of continuous functions on Valdivia compacta

被引：4

作者：

Aviles, Antonio ^{[1
]}

Moreno, Yolanda ^{[2
]}

机构：

[1] Univ Paris 07, Equipe Log Math, UFR Math, F-75251 Paris, France

[2] Univ Extremadura, Escuela Politecn, Dept Matemat, Caceres 10071, Spain

来源：

TOPOLOGY AND ITS APPLICATIONS | 2008年 / 155卷 / 17-18期

关键词：

Automorphism; Automorphic space; Eberlein compact; Valdivia compact; Space of continuous functions;

D O I：

10.1016/j.topol.2007.07.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that there are no automorphic Banach spaces of the form C(K) with K continuous image of Valdivia compact except the spaces c(0)(Gamma). Nevertheless, when K is an Eberlein compact of finite height such that C(K) is not isomorphic to c(0)(Gamma), all isomorphism between subspaces of C(K) of size less than aleph(omega) extend to automorphisms of C(K). (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：2027 / 2030

页数：4

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