Pseudo S-spectrum in a right quaternionic Hilbert space

被引：4

作者：

Ammar, Aymen ^{[1
]}

Jeribi, Aref ^{[1
]}

Lazrag, Nawrez ^{[1
]}

机构：

[1] Univ Sfax, Fac Sci Sfax, Dept Math, Soukra Rd Km 3-5,BP 1171, Sfax 3000, Tunisia

来源：

LINEAR & MULTILINEAR ALGEBRA | 2022年 / 70卷 / 04期

关键词：

Quaternions; quaternionic Hilbert space; pseudo S-spectrum; Weyl pseudo S-spectrum; PSEUDOSPECTRA;

D O I：

10.1080/03081087.2020.1737632

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The issue of the S-spectrum introduced by Colombo et al. [Noncommutative functional calculus. Theory and applications of slice hyperholomorphic functions. Basel: Birkhauser/Springer Basel AG; 2011. (Progress in mathematics; vol. 289). p. vi+221]. motivates us to investigate the pseudo S-spectrum of a bounded right quaternionic linear operator, in a right quaternionic Hilbert space with a left multiplication defined on it. Besides, we give a characterization for the Weyl pseudo S-spectrum in terms of the Fredholm operators with the aid of results from the papers [Muraleetharan, Thirulogasanthar. Fredholm operators and essential S-spectrum in the quaternionic setting. J Math Phys. 2018;59(10):103506, 27 pp.; Muraleetharan, Thirulogasanthar. Weyl and Browder S-spectra in a right quaternionic Hilbert space. J Geom Phys. 2019;135:7-20].

引用

页码：581 / 605

页数：25

共 50 条

[1] Characterization of the essential approximation S-spectrum and the essential defect S-spectrum in a right quaternionic Hilbert space
Ammar, Aymen
Jeribi, Aref
Saadaoui, Bilel
FILOMAT, 2023, 37 (11) : 3513 - 3525
[2] Essential S-Spectrum for Quaternionic Quasi-Compact Operators on Right Quaternionic Hilbert Spaces
Ammar, Aymen
Jeribi, Aref
Saadaoui, Bilel
ACTA APPLICANDAE MATHEMATICAE, 2021, 176 (01)
[3] Essential S-Spectrum for Quaternionic Quasi-Compact Operators on Right Quaternionic Hilbert Spaces
Aymen Ammar
Aref Jeribi
Bilel Saadaoui
Acta Applicandae Mathematicae, 2021, 176
[4] Characterization of the condition S-spectrum of a compact operator in a right quaternionic Hilber space
Bilel Saadaoui
Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 707 - 724
[5] Characterization of the condition S-spectrum of a compact operator in a right quaternionic Hilber space
Saadaoui, Bilel
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (01) : 707 - 724
[6] S-spectrum and associated continuous frames on quaternionic Hilbert spaces
Khokulan, M.
Thirulogasanthar, K.
Muraleetharan, B.
JOURNAL OF GEOMETRY AND PHYSICS, 2015, 96 : 107 - 122
[7] S-Spectrum of Quaternionic Right Linear Bounded Operators
Moulaharabbi, Somayya
Barraa, Mohamed
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2023, 33 (03)
[8] S-Spectrum of Quaternionic Right Linear Bounded Operators
Somayya Moulaharabbi
Mohamed Barraa
Advances in Applied Clifford Algebras, 2023, 33
[9] Kato S-Spectrum in the Quaternionic Setting
K. Thirulogasanthar
B. Muraleetharan
Advances in Applied Clifford Algebras, 2020, 30
[10] Kato S-Spectrum in the Quaternionic Setting
Thirulogasanthar, K.
Muraleetharan, B.
ADVANCES IN APPLIED CLIFFORD ALGEBRAS, 2020, 30 (03)

← 1 2 3 4 5 →