LOCAL SPECTRAL PROPERTY OF RELATIVELY REGULAR OPERATORS

被引：1
|
作者：
Ko, Eungil [1 ]
Lee, Mee-Jung [1 ]
机构：
[1] Ewha Womans Univ, Dept Math, Seoul 120750, South Korea
来源：
MATHEMATICAL INEQUALITIES & APPLICATIONS | 2017年 / 20卷 / 01期
基金：
新加坡国家研究基金会;
关键词：
Relatively regular operator; local spectral property;
D O I：
10.7153/mia-20-09
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study some relatively regular operators T such that T = TST for some S is an element of L(H). We give some spectral and local spectral properties between T and S. We also show that some relatively regular operators T have a nontrivial invariant subspace. Finally, we introduce and study the local spectral property of relatively regular operators modulo a nilpotent operator.
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页码：123 / 137
页数：15
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