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

共 50 条

[31] Harmonic and polyanalytic functional calculi on the S-spectrum for unbounded operators
Fabrizio Colombo
Antonino De Martino
Stefano Pinton
Banach Journal of Mathematical Analysis, 2023, 17
[32] Higgs masses and s-spectrum predictions in finite unified theories
Kobayashi, T
Kubo, J
Mondragon, M
Zoupanos, G
RECENT DEVELOPMENTS IN PARTICLE PHYSICS AND COSMOLOGY, 2001, 34 : 519 - 530
[33] The H∞ functional calculus based on the S-spectrum for quaternionic operators and for n-tuples of noncommuting operators
Alpay, Daniel
Colombo, Fabrizio
Qian, Tao
Sabadini, Irene
JOURNAL OF FUNCTIONAL ANALYSIS, 2016, 271 (06) : 1544 - 1584
[34] The Fine Structure of the Spectral Theory on the S-Spectrum in Dimension Five
Colombo, Fabrizio
De Martino, Antonino
Pinton, Stefano
Sabadini, Irene
JOURNAL OF GEOMETRIC ANALYSIS, 2023, 33 (09)
[35] Axially Harmonic Functions and the Harmonic Functional Calculus on the S-spectrum
Fabrizio Colombo
Antonino De Martino
Stefano Pinton
Irene Sabadini
The Journal of Geometric Analysis, 2023, 33
[36] ESSENTIAL SPECTRUM FOR A HILBERT SPACE OPERATOR
BOULDIN, R
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 163 (NJAN) : 437 - &
[37] Properties of Fredholm, Weyl and Jeribi essential S-spectra in a right quaternionic Hilbert space
Dharmarha, Preeti
Kumari, Sarita
REVIEWS IN MATHEMATICAL PHYSICS, 2023, 35 (09)
[38] On the essential spectrum of a class of operators in Hilbert space
Moller, M
MATHEMATISCHE NACHRICHTEN, 1998, 194 : 185 - 196
[39] S-Zariski Topology on S-Spectrum of Modules (vol 36, pg 7103, 2022)
Yildiz, Eda
Ersoy, Bayram Ali
Tekir, Unsal
FILOMAT, 2023, 37 (23) : 8039 - 8039
[40] Local S-spectrum analysis of 1-D and 2-D data
Mansinha, L
Stockwell, RG
Lowe, RP
Eramian, M
Schincariol, RA
PHYSICS OF THE EARTH AND PLANETARY INTERIORS, 1997, 103 (3-4) : 329 - 336

← 1 2 3 4 5 →