Konferans Bildirisi
Yıl 2023, Cilt: 22, 15 - 25, 01.09.2023
Öz
Kaynakça
- Abu-Omar, A. & Kittaneh, F. (2015). Upper and lower bounds for the numerical radius with an application to involution operators, Rocky Mountain Journal Math., 45(4), 1055-1065.
- Al-Dolat, M., & Al-Zoubi, K. (2023). Improved and refined numerical radius inequalities for Hilbert space operators.https://assets.researchsquare.com/files/rs2668438/v1/a5b67b067e6f6fddcf09cb22.pdf?c=1678771282
- Al-Dolat, M., Al-Zoubi, K., Ali, M., & Bani-Ahamed, F. (2016). General numerical radius inequalities for matrices of operators, Open Math., 4, 1-9.
- Al-Dolat, M., & Jaradat, I. (2023). A refinement of the Cauchy-Shwarz inequality accompanied by new numerical radius upper bounds. Filomat, 37, 971-977.
- Al-Dolat, M., & Kittaneh, F. (2023). Upper bounds for the numerical radii of powers of Hilbert space operators. Quaestiones Mathematicae, 1-12.
- Aujla, J., & Silva, F. (2003). Weak majorization inequalities and convex functions. Linear Algebra Appl., 369, 217-233.
- Bani-Domi W., & Kittaneh, F. (2021). Refined and generalized numerical radius inequalities for 2x2 operator matrices. Linear Algebra Appl. 364-380.
- Bani-Domi, W. & Kittaneh F. (2021). Norm and numerical radius inequalities for Hilbert space operators. Linear Multilinear Algebra, 69, 934-945.
- Buzano, M.L. (1974). Generalizzazione della diseguaglianza di Cauchy-Schwarz, (Italian). Rend Sem Mat Univ e Politech Torino, 31, 405-409.
- Dragomir, S.S. (2009). Power inequalities for the numerical radius of a product of two operators in Hilbert spaces. Sarajevo J Math., 18, 269-278.
- El-Haddad, M., & Kittaneh, F. (2007). Numerical radius inequalities for Hilbert space operators. II Studia Math., 182, 133-140.
- Kittaneh, F. & Moradi, H. R. (2020). Cauchy-Schwarz type inequalities and applications to numerical radius inequalities. Mathematical Inequalities and Applications, 23, 1117-1125.
- Kittaneh, F. (1988). Notes on some inequalities for Hilbert space operators. Pub1. Reserach Inst. Math. Science, 24, 283-293.
- Kittaneh, F. (2003). A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix. Studia Math., 158, 11-17.
- Kittaneh, F. (2005) Numerical radius inequalities for Hilbert space operators. Studia Math., 168, 73-80.
- Moradi, H. ,& Sababheh, M. (2021). New estimates for the numerical radius. Filomat, 35, 4957-4962.
- Halmos, P.R. (1982). A Hilbert space Problem Book, (2nd ed).New York, NY:Springer.
General Upper Bounds for the Numerical Radii of Powers of Hilbert Space Operators
Yıl 2023, Cilt: 22, 15 - 25, 01.09.2023Öz
In this paper, we will present several upper bounds for the numerical radii of a operator matrices. We use these bounds to generalize and improve some well-known numerical radius inequalities. We provide a refinement of an earlier numerical radius inequality due to (Bani-Domi & Kittaneh, 2021) [Norm and numerical radius inequalities for Hilbert space operators], (Bani-Domi & Kittaneh, 2021) [Refined and generalized numerical radius inequalities for operator matrices] and (Al-Dolat & Kittaneh, 2023) [Upper bounds for the numerical radii of powers of Hilbert space operators].
Anahtar Kelimeler
Numerical radius, Usual operator norm, Operator matrix, Buzano inequality.
Kaynakça
- Abu-Omar, A. & Kittaneh, F. (2015). Upper and lower bounds for the numerical radius with an application to involution operators, Rocky Mountain Journal Math., 45(4), 1055-1065.
- Al-Dolat, M., & Al-Zoubi, K. (2023). Improved and refined numerical radius inequalities for Hilbert space operators.https://assets.researchsquare.com/files/rs2668438/v1/a5b67b067e6f6fddcf09cb22.pdf?c=1678771282
- Al-Dolat, M., Al-Zoubi, K., Ali, M., & Bani-Ahamed, F. (2016). General numerical radius inequalities for matrices of operators, Open Math., 4, 1-9.
- Al-Dolat, M., & Jaradat, I. (2023). A refinement of the Cauchy-Shwarz inequality accompanied by new numerical radius upper bounds. Filomat, 37, 971-977.
- Al-Dolat, M., & Kittaneh, F. (2023). Upper bounds for the numerical radii of powers of Hilbert space operators. Quaestiones Mathematicae, 1-12.
- Aujla, J., & Silva, F. (2003). Weak majorization inequalities and convex functions. Linear Algebra Appl., 369, 217-233.
- Bani-Domi W., & Kittaneh, F. (2021). Refined and generalized numerical radius inequalities for 2x2 operator matrices. Linear Algebra Appl. 364-380.
- Bani-Domi, W. & Kittaneh F. (2021). Norm and numerical radius inequalities for Hilbert space operators. Linear Multilinear Algebra, 69, 934-945.
- Buzano, M.L. (1974). Generalizzazione della diseguaglianza di Cauchy-Schwarz, (Italian). Rend Sem Mat Univ e Politech Torino, 31, 405-409.
- Dragomir, S.S. (2009). Power inequalities for the numerical radius of a product of two operators in Hilbert spaces. Sarajevo J Math., 18, 269-278.
- El-Haddad, M., & Kittaneh, F. (2007). Numerical radius inequalities for Hilbert space operators. II Studia Math., 182, 133-140.
- Kittaneh, F. & Moradi, H. R. (2020). Cauchy-Schwarz type inequalities and applications to numerical radius inequalities. Mathematical Inequalities and Applications, 23, 1117-1125.
- Kittaneh, F. (1988). Notes on some inequalities for Hilbert space operators. Pub1. Reserach Inst. Math. Science, 24, 283-293.
- Kittaneh, F. (2003). A numerical radius inequality and an estimate for the numerical radius of the Frobenius companion matrix. Studia Math., 158, 11-17.
- Kittaneh, F. (2005) Numerical radius inequalities for Hilbert space operators. Studia Math., 168, 73-80.
- Moradi, H. ,& Sababheh, M. (2021). New estimates for the numerical radius. Filomat, 35, 4957-4962.
- Halmos, P.R. (1982). A Hilbert space Problem Book, (2nd ed).New York, NY:Springer.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Yazılım Mühendisliği (Diğer) |
| Bölüm | Makaleler |
| Yazarlar | |
| Erken Görünüm Tarihi | 30 Temmuz 2023 |
| Yayımlanma Tarihi | 1 Eylül 2023 |
| Yayımlandığı Sayı | Yıl 2023Cilt: 22 |
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