On class Ak# operators in semi-Hilbertian spaces
*Mustapha MaadaniCorresponding authorm.maadani@univ-chlef.dzDepartment of MathematicsFaculty of Exact Sciences and InformaticsLaboratory of Mathematics and Applications, B. P. 78CHassiba Benbouali University of ChlefOuled Fares, Chlef, 02180, AlgeriaView full profile → , Abdelkader Benalibenali4848@gmail.comDepartment of MathematicsFaculty of Exact Sciences and InformaticsLaboratory of Mathematics and Applications, B. P. 78CHassiba Benbouali University of ChlefOuled Fares, Chlef, 02180, Algeria0000-0001-6205-3499View full profile → , Aissa Nasli Bakira.nasli@univ-chlef.dzAffiliation 1Department of MathematicsFaculty of Exact Sciences and InformaticsLaboratory of Mathematics and Applications, B. P. 78CHassiba Benbouali University of ChlefOuled Fares, Chlef, 02180, AlgeriaAffiliation 2National Higher School of Cybersecurity NSCSSidi AbdellahAlgiers, AlgeriaView full profile →
* Corresponding author · click or hover a name for details
- Received:
- 01 Feb 2025
- Published Online:
- 26 Mar 2026
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-2266
- Pages:
- 1–17
Abstract
Keywords
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References
[1] M. L. Arias, G. Corach, and M. C. Gonzalez, “Metric properties of projections in semi-Hilbertian spaces,” (2008).
[2] M. L. Arias, G. Corach, and M. C. Gonzalez, “Partial isometries in semi-Hilbertian spaces,” Linear Algebra Appl., vol. 428, no. 7, pp. 1460-1475 (2008).
[3] O. A. M. S. Ahmed and A. Saddi, “Am-Isometric operators in semi-Hilbertian spaces,” Linear Algebra Appl., vol. 436, no. 10, pp. 3930-3942 (2012).
[4] A. Benali and S. A. O. A. Mahmoud, “(α, β)-A-Normal operators in semi-Hilbertian spaces,” Afrika Matematika, vol. 30, pp. 903-920 (2019).
[5] Chellali and A. Benali, “Class of (A,n)-power-hyponormal operators in semi-Hilbertian space,” Funct. Anal. Approx. Comput., vol. 11, pp. 13-21 (2019).
[6] T. Furuta, M. Ito, and T. Yamazaki, “A subclass of paranormal operators including class of log-hyponormal and several related classes,” Sci. Math., vol. 1, no. 3, pp. 389-403 (1998).
[7] S. A. Mahmoud and A. Benali, “Hyponormal and k-quasi-hyponormal operators on semi-Hilbertian spaces,” Aust. J. Math. Anal. Appl., vol. 13, no. 1, pp. 1-22 (2016).
[8] D. Bekaia, A. Benalic, and H. Ali, “On the Class of (n, m) Power-A-Hyponormal Operators in Semi-Hilbertian Space.”
[9] S. H. Jah and O. A. M. S. Ahmed, “Positive-normal operators in semi-Hilbertian spaces,” Int. Math. Forum, vol. 9, no. 11 (2014).
[10] S. Panayappan and N. Sivamani, “A-Quasi Normal Operators in Semi-Hilbertian Spaces,” Gen. Math. Notes, vol. 10, no. 2, pp. 30-35 (Jun. 2012).
[11] B. P. Duggal, I. H. Jeon, and I. H. Kim, “On -paranormal contractions and properties for -class A operators,” Linear Algebra Appl., vol. 436, pp. 954-962 (2012).
[12] P. Bhunia, K. Feki, and K. Paul, “A-Numerical radius orthogonality and parallelism of semi-Hilbertian space operators and their applications,” Bull. Iran. Math. Soc., vol. 47, no. 2, pp. 435-457 (2021).
[13] J. Hou, “On the tensor products of operators,” Acta Math. Sinica, vol. 9, no. 2, pp. 195-202 (1993).
[14] S. Panayappan and N. Jayanthi, “Weyl and Weyl type theorems for class Ak and quasi class Ak* operators,” Int. J. Math. Anal. (RUS), vol. 7, pp. 683-698, 2013.
[15] A. Saddi, “A-Normal operators in Semi-Hilbertian spaces,” Aust. J. Math. Anal. Appl., vol. 9, no. 1, pp. 1-12 (2012).
