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：

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

页码：1501 / 1505

页数：5