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

页码：3513 / 3525

页数：13

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