Spectral Radius Inequalities for Accretive-Dissipative Matrices

Mona; Shatha

doi:https://doi.org/10.54216/IJNS.250327

Full Length Article

Volume 25 • Issue 3 • PP: 307-311 • 2025

Spectral Radius Inequalities for Accretive-Dissipative Matrices

Mona Sakkijha ^1*

mail

,

Shatha Hasan ²

mail

¹Department of Mathematics, Faculty of Science, The University of Jordan, Amman 11942, Jordan

²Department of Applied Science, Ajloun College, Al-Balqa Applied University, Ajloun 26816, Jordan; Jadara University Research Center, Jadara University, Jordan

* Corresponding Author.

DOI https://doi.org/10.54216/IJNS.250327

format_quote Cite this article

Received: March 17, 2024 Revised: June 10, 2024 Accepted: October 27, 2024

View PDF open_in_new

Abstract

In this paper, we prove new spectral radius inequalities for sums, differences and commutators involving accretive-dissipative matrices of Hilbert space. Earlier well-known results used the spectral radius for its importance for general matrices. In our paper, we focus on some results related to spectral radius for special kind of matrices which are accretive-dissipative. A particular example is also presented in this work.

Keywords

Spectral radius Commutators Accretive-Dissipative Matrices

References

[1] A. Abu-Omar and F. Kittaneh (2015),Notes on some spectral radius inequalities,Studia Math, 2875, 97- 109.

[2] R. Bhatia and F. Kittaneh (2009), The singular values of A + B and A + iB, Linear Algebra its Applications, 431,1502-1508.

[3] P.R. Halmos, A Hilbert Space Problem Book, 2nd edition, Springer-Verlag, New York, 1982.

[4] J. C. Hou and H.K.Do (1995), Norm inequalities for positive Operator Matrices, Integral Equations Operator Theory,22, 281-294.

[5] F. Kittaneh (2004), Normal inequalities for sums and differences of positive operators, Linear Algebra its Applications,383,85-91.

[6] F. Kittaneh (2005), Spectral Radius Inequalities for Hilbert Space operators, American Mathematical Society, 134,385-390.

[7] F. Kittaneh (2007), Inequalities for commutators of positive operators, Journal of Functional Analysis, 250, 132-143.

[8] F. Kittaneh and M. Sakkijha (2019), Inequalities for accretive-dissipative matrices, Linear and Multilinear Algebra, 67, 1037-1042.

[9] M. Sakkijha and S. Hasan (2024), Hadamard Determinant Inequalities for Accretive-Dissipative Matrices, International Journal of Mathematics and Computer Science, 19,111-116.

Cite This Article

Choose your preferred format

format_quote

Sakkijha, Mona, Hasan, Shatha. "Spectral Radius Inequalities for Accretive-Dissipative Matrices." International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, 2025, pp. 307-311. DOI: https://doi.org/10.54216/IJNS.250327

Sakkijha, M., Hasan, S. (2025). Spectral Radius Inequalities for Accretive-Dissipative Matrices. International Journal of Neutrosophic Science, Volume 25(Issue 3), 307-311. DOI: https://doi.org/10.54216/IJNS.250327

Sakkijha, Mona, Hasan, Shatha. "Spectral Radius Inequalities for Accretive-Dissipative Matrices." International Journal of Neutrosophic Science Volume 25, no. Issue 3 (2025): 307-311. DOI: https://doi.org/10.54216/IJNS.250327

Sakkijha, M., Hasan, S. (2025) 'Spectral Radius Inequalities for Accretive-Dissipative Matrices', International Journal of Neutrosophic Science, Volume 25(Issue 3), pp. 307-311. DOI: https://doi.org/10.54216/IJNS.250327

Sakkijha M, Hasan S. Spectral Radius Inequalities for Accretive-Dissipative Matrices. International Journal of Neutrosophic Science. 2025;Volume 25(Issue 3):307-311. DOI: https://doi.org/10.54216/IJNS.250327

M. Sakkijha, S. Hasan, "Spectral Radius Inequalities for Accretive-Dissipative Matrices," International Journal of Neutrosophic Science, vol. Volume 25, no. Issue 3, pp. 307-311, 2025. DOI: https://doi.org/10.54216/IJNS.250327

Digital Archive Ready