A-Browder's theorem and its perturbations

A-Browder's theorem and its perturbations

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 pr...

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Veröffentlicht in:Zhejiang da xue xue bao. Journal of Zhejiang University. Sciences edition. Li xue ban 2022-05, Vol.49 (3), p.287-293
Hauptverfasser: Sun, Chenhui, Wang, Ning, Cao, Xiaohong
Format: Artikel
Sprache:chi
Schlagworte:
a-browder定理
Linear operators
Perturbation
Theorems
单值延拓性质
摄动
谱
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Zusammenfassung: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.
ISSN:1008-9497
DOI:10.3785/j.issn.1008-9497.2022.03.004