WEYL'S THEOREM AND ITS PERTURBATIONS FOR THE FUNCTIONS OF OPERATORS

被引：5
作者：
Cao, Xiaohong [1 ]
Dong, Jiong [1 ]
Liu, Junhui [1 ]
机构：
[1] Shaanxi Normal Univ, Sch Math & Informat Sci, Xian 710119, Shaanxi, Peoples R China
来源：
OPERATORS AND MATRICES | 2018年 / 12卷 / 04期
关键词：
Weyl's theorem; Browder's theorem; spectrum; COMPACT;
D O I：
10.7153/oam-2018-12-69
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the stability of Weyl's theorem under compact perturbations, and characterize those operators satisfying that the stability of Weyl's theorem does not hold for any integer powers of the operator.
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页码：1145 / 1157
页数：13
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