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浙江大学学报（理学版）
Journal of Zhejiang University (Science Edition)  2022, Vol. 49 Issue (3): 287-293    DOI: 10.3785/j.issn.1008-9497.2022.03.004
Mathematics and Computer Science     
A-Browder's theorem and its perturbations
Chenhui SUN1(),Ning WANG2,Xiaohong CAO2
1.School of Mathematics and Statistics，Weinan Normal University，Weinan 714099，Shaanxi Province，China
2.School of Mathematics and Statistics，Shaanxi Normal University，Xi'an 710119，China
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Abstract  

In this paper, by using the newly defined spectrum set, the necessary and sufficient conditions for bounded linear operators satisfying a-Browder's theorem are obtained. Moreover, by using the spectrum set, the compact perturbations of a-Browder's theorem and the single valued extension property for bounded linear operators are studied respectively, and the relationship between them is discussed.

Key words： a-Browder's theorem      single valued extension property      spectrum      perturbation     
Received: 25 August 2020      Published: 24 May 2022
CLC:  O177.2  
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Chenhui SUN
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Xiaohong CAO
Cite this article:

Chenhui SUN,Ning WANG,Xiaohong CAO. A-Browder's theorem and its perturbations. Journal of Zhejiang University (Science Edition), 2022, 49(3): 287-293.

URL:

https://www.zjujournals.com/sci/EN/Y2022/V49/I3/287


A-Browder定理及其摄动

运用新定义的谱集，刻画了有界线性算子满足a-Browder定理的充要条件。通过该谱集，分别研究了有界线性算子的a-Browder定理与单值延拓性质的紧摄动问题，并对二者之间的关系进行了探索。


关键词： a-Browder定理,  单值延拓性质,  谱,  摄动 
 
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