Some sharp bounds for the Hilbert-Schmidt numerical radius of operators
Aici Soumiasoumia.aici@univ-mascara.dzDepartment of MathematicsFaculty of Exact SciencesUniversity of Mustapha StambouliMascara, 29000, AlgeriaView full profile → , *Frakis AbdelkaderCorresponding authoraekfrakis@yahoo.frDepartment of MathematicsFaculty of Exact SciencesUniversity of Mustapha StambouliMascara, 29000, AlgeriaView full profile →
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- Received:
- 07 Dec 2022
- Published Online:
- 30 Nov 2024
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1731
- Pages:
- 1481–1489
Abstract
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References
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[3] William Audeh, “Hilbert-Schmidt numerical radius inequalities for 2 × 2 operator matrices,” Inter. J. Math. Comp. Sci., vol. 16, pp. 1161-1167 (2021).
[4] Ravi Bhatia, Matrix Analysis, Springer, New York (1997).
[5] Mouhamad Guesba, “On some numerical radius inequalities for normal operators in Hilbert spaces,” J. Interdiscip. Math., vol. 25, no. 2, pp. 463-470 (2022), doi: 10.1080/09720502.2021.1930658.
[6] Mohammad Hajmohamadi and Reza Lashkaripour, “Some inequalities involving Hilbert-Schmidt numerical radius on 2×2 operator matrices,” Filomat, pp. 4649-4657 (2020).
[7] G. H. Hardy, J. E. Littlewood, and G. Pólya, Inequalities, 2nd ed., Cambridge, UK: Cambridge Univ. Press (1988).
