Weyl Spectrum of Upper Triangular Operator Matrices

被引：0
|
作者：
Xiu Feng WU [1 ]
Jun Jie HUANG [2 ]
机构：
[1] School of Mathematical Sciences, Inner Mongolia Normal University
[2] School of Mathematical Sciences, Inner Mongolia
来源：
ActaMathematicaSinica | 2020年 / 36卷 / 07期
关键词：
D O I：
暂无
中图分类号：
O177 [泛函分析]; O151.21 [矩阵论];
学科分类号：
070104 ;
摘要：
This paper is concerned with general n × n upper-triangular operator matrices with given diagonal entries. The characterizations of perturbations of their left(resp. right) Weyl spectrum and Weyl spectrum are given, based on the space decomposition technique. Moreover, some sufficient and necessary conditions are given under which the left(resp. right) Weyl spectrum and the Weyl spectrum of such operator matrix, respectively, coincide with the union of the left(resp. right) Weyl spectrum and the Weyl spectrum of its diagonal entries.
引用
收藏
页码：783 / 796
页数：14
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