A solution to a problem on invertible disjointness preserving operators

被引：17
作者：
Abramovich, YA
Kitover, AK
机构：
[1] Indiana Univ Purdue Univ, Dept Math, Indianapolis, IN 46202 USA
[2] Community Coll Philadelphia, Dept Math, Philadelphia, PA 19130 USA
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1998年 / 126卷 / 05期
关键词：
vector lattice; normed lattice; disjointness preserving operators; band preserving operators; invertible operators;
D O I：
10.1090/S0002-9939-98-04318-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We construct an invertible disjointness preserving operator T on a normed lattice such that T-1 is not disjointness preserving.
引用
收藏
页码：1501 / 1505
页数：5
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