REMARK ON SUPRA-ADDITIVE AND SUPRA-MULTIPLICATIVE OPERATORS ON C(X)

被引：0

作者：

Ercan, Z. ^{[1
]}

机构：

[1] Middle East Tech Univ, Dept Math, TR-06531 Ankara, Turkey

来源：

MATHEMATICA BOHEMICA | 2007年 / 132卷 / 01期

关键词：

C(X)-space; supra-additive; supra-multiplicative operator; realcompact;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

M. Radulescu proved the following result: Let X be a compact Hausdorff topological space and pi : C(X) -> C(X) a supra-additive and supra-multiplicative operator. Then pi is linear and multiplicative. We generalize this result to arbitrary topological spaces.

引用

页码：55 / 58

页数：4

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