Characterization of the essential approximation S-spectrum and the essential defect S-spectrum in a right quaternionic Hilbert space

被引：0
|
作者：
Ammar, Aymen [1 ]
Jeribi, Aref [1 ]
Saadaoui, Bilel [1 ]
机构：
[1] Univ Sfax, Fac Sci Sfax, Dept Math, Soukra Rd Km 3-5,BP 1171, Sfax 3000, Tunisia
来源：
FILOMAT | 2023年 / 37卷 / 11期
关键词：
Quaternionic; Compact; Essential S-spectra;
D O I：
10.2298/FIL2311513A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce and study the essential approximation S-spectrum and the essential defect S-spectrum in a right quaternionic Hilbert space. Our results are used to describe the investigation of the stability of the essential approximation S-spectrum and the essential defect S-spectrum of linear operator A subjected to additive perturbation K such that (AK + KA + K-2 - 2Re(q)K)R-q(A + K)(-1) or R-q(A + K)(-1)(AK + KA + K-2 - 2Re(q)K) is a quasi-compact operator in the right quaternionic Hilbert space.
引用
收藏
页码：3513 / 3525
页数：13
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