Geodesic
Characterization of the essential approximation s-spectrum and the essential defect s-spectrum in a right quaternionic Hilbert space
Filomat, Tome 37 (2023) no. 11, p. 3513

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DOI

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.
DOI : 10.2298/FIL2311513A
Classification : 47A06
Keywords: Quaternionic, Compact, Essential S-spectra 
Aymen Ammar; Aref Jeribi; Bilel Saadaoui. Characterization of the essential approximation s-spectrum and the essential defect s-spectrum in a right quaternionic Hilbert space. Filomat, Tome 37 (2023) no. 11, p. 3513 . doi: 10.2298/FIL2311513A
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     title = {Characterization of the essential approximation s-spectrum and the essential defect s-spectrum in a right quaternionic {Hilbert} space},
     journal = {Filomat},
     pages = {3513 },
     year = {2023},
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     number = {11},
     doi = {10.2298/FIL2311513A},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2311513A/}
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