A modification on some adjointable normal power operators
*Salim Dawood MohsenCorresponding authordr_salim2015@yahoo.comDepartment of MathematicsCollege of Basic EducationMustensiriyah UniversityBagdad, Iraqhttps://orcid.org/0000-0002-4435-4658View full profile → , Luma J. Barghoothluma.j.barghooth@uomustansiriyah.edu.iqDepartment of MathematicsCollege of Basic EducationMustensiriyah UniversityBagdad, IraqView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 07 May 2024
- Published Online:
- 08 May 2025
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1967
- Pages:
- 721–728
Abstract
Keywords
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References
[1] A. Brown, “On a class of operators,” Proc. Amer. Math. Soc., vol. 5, no. 5, pp. 723–728 (1953).
[2] A. Bala, “A note on quasi-normal operators,” Indian J. Pure Appl. Math., vol. 8, pp. 463–465 (1977).
[3] S. Lohaj, “Quasi-normal operators,” Int. J. Math. Anal., vol. 4, no. 47, pp. 2311–2320 (2010).
[4] O. A. M. Sid Ahmed, “On the class of n-power quasi-normal operators on Hilbert space,” Bull. Math. Anal. Appl., vol. 3, no. 2, pp. 213–228 (2011).
[5] V. R. Hamiti, “Some properties of N-quasinormal operators,” Gen. Math. Notes, vol. 18, no. 1, pp. 94–98 (2013).
[6] L. K. Shaakir and S. S. Marai, “Quasi-normal operator of order n,” Tikrit J. Pure Sci., vol. 20, no. 4, pp. 167–169 (2015).
[7] S. D. Mohsen, “On (k,m)-n-paranormal operators,” Iraqi J. Sci., vol. 64, no. 6, pp. 3087–3092 (2023).
[8] N. Sivakumar and V. Bavithra, “On the class of (K-N) quasi-n-normal perators on Hilbert spaces,” Int. J. Adv. Res. Ideas Innov. Technol., vol. 2, no. 6, pp. 1–5 (2016).
[9] S. A. Ould A. Mahmoud and S. A. Ould Beinane, “On the classes of (n,m)-power D-normal and (n,m)-power D-quasi-normal operators,” Oper. Matrices, vol. 13, no. 3, pp. 705–732 (2019).
[10] P. Pietrzycki and J. Stochel, “Subnormal nth roots of quasinormal operators are quasinormal,” J. Funct. Anal., vol. 280, no. 12, p. 109001 (2021).
[11] S. Mecheri and A. N. Bakir, “On (k,n) power quasi-normal operators,” Turk. J. Math., vol. 45, no. 5, pp. 2073–2083 (2021).
[12] T. Veluchamy and K. M. Manikandan, “n-Power quasi-normal operators on the Hilbert space,” IOSR J. Math., vol. 12, no. 1, pp. 6–9 (2016).
[13] S. A. Alzuraiqi and A. B. Patel, “On n-normal operators,” Gen. Math. Notes, vol. 1, no. 2, pp. 61–73 (2010).
[14] S. Al Mohammady, S. A. O. Beinane, and S. A. O. A. Mahmoud, “On (n,m)-A-normal and (n,m)-A-quasinormal semi-Hilbertian space operators,” Math. Bohemica, vol. 147, no. 2, pp. 169–186 (2022).
[15] S. D. Mohsen, “Some generalizations of fuzzy soft (k̂*–Â)-quasinormal operators in fuzzy soft Hilbert spaces,” J. Interdiscip. Math., vol. 26, no. 6, pp. 1133–1143 (2023).
[16] S. S. Abdul Hussein and H. A. Shubber, “Spectral theory of n-normal operators on Hilbert space,” J. Interdiscip. Math., vol. 24, no. 7, pp. 1871–1877 (2021).




