On the level sets of the resolvent norm of a linear operator

被引：35
作者：
Shargorodsky, E. [1 ]
机构：
[1] Kings Coll London, Dept Math, London WC2R 2LS, England
来源：
BULLETIN OF THE LONDON MATHEMATICAL SOCIETY | 2008年 / 40卷
关键词：
D O I：
10.1112/blms/bdn038
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We construct a bounded linear operator on a Banach space and a closed densely defined operator on a Hilbert space with resolvent norms that are constant in a neighbourhood of zero. We also discuss cases where the norm of the resolvent of a bounded linear operator cannot be constant on an open set.
引用
收藏
页码：493 / 504
页数：12
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