Relative boundedness and relative compactness for linear operators in Banach spaces

被引：7

作者：

Binding, P ^{[1
]}

Hryniv, R

机构：

[1] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[2] Inst Appl Problems Mech & Math, UA-290601 Lviv, Ukraine

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2000年 / 128卷 / 08期

关键词：

relatively bounded operators; relatively compact operators;

D O I：

10.1090/S0002-9939-00-05729-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

If A and B are linear operators acting between Banach spaces, we show that compactness of B relative to A does not in general imply that B has A-bound zero. We do, however, give conditions under which the above implication is valid.

引用

页码：2287 / 2290

页数：4