On ideal operators

被引：8

作者：

Turan, B ^{[1
]}

机构：

[1] Gazi Univ, Fac Arts & Sci, Dept Math, TR-06500 Ankara, Turkey

来源：

POSITIVITY | 2003年 / 7卷 / 1-2期

关键词：

Fourier Analysis; Operator Theory; Ideal Operator; Potential Theory; Riesz Space;

D O I：

10.1023/A:1025873520404

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let E, F be Archimedean Riesz spaces. We consider operators that map ideals of E to ideals of F and operators T for which, T-1(I) is an ideal in E, for each ideal I in F. We study the properties of such operators and investigate their relation to disjointness preserving operators.

引用

页码：141 / 148

页数：8

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