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Abstrakty
In this paper, we obtain some sharp inequalities for numerical radius of finite sums of operators. Moreover, we give some applications of our result in estimation of spectral radius. We also compare our results with some known results.
Wydawca
Czasopismo
Rocznik
Tom
Strony
963--970
Opis fizyczny
Bibliogr. 16 poz.
Twórcy
autor
- Center of Excellence in Analysis on Algebraic Structures, Department of Pure Mathematics, Ferdowsi University Of Mashhad, P. O. Box 1159, Mashhad 91775, Mashhad, Iran
autor
- Center of Excellence in Analysis on Algebraic Structures, Department of Pure Mathematics, Ferdowsi University Of Mashhad, P. O. Box 1159, Mashhad 91775, Mashhad, Iran
autor
- Department of Mathematics, Faculty of Science, Mashhad Branch Islamic Azad University, Mashhad, Iran
Bibliografia
- [1] R. Bhatia, Matrix Analysis, Grad. Texts in Math. 169, Springer, New York, 1997.
- [2] H. Bohr, A theorem concerning power series, Proc. Lond. Math. Soc. 2(13) (1914), 1–5.
- [3] S. S. Dragomir, Power inequalities for the numerical radius of a product of two operators in Hilbert spaces, Sarajevo J. Math. 5(18) (2009), 269–278.
- [4] M. Fujii, R. Nakamoto, H. Watanabe, The Heinz–Kato–Furuta inequality and hyponormal operators, Math. Japon. 40 (1994), 469–472.
- [5] K. E. Gustafsun, D. K. M. Rao, Numerical Range, Springer-Verlag, New York, 1997.
- [6] M. EL. Haddad, F. Kittaneh, Numerical radius inequalities for Hilbert space operators, Studia Math. 182(2) (2007), 133–140.
- [7] P. R. Halmos, A Hilbert Space Problem Book, 2nd ed. Grad. Texts in Math. 19, Springer, New York, 1982.
- [8] G. H. Hardy, J. E. Littewood, G. Polya, Inequalities, 2nd ed, Cambridge University Press, Cambridge, 1988.
- [9] F. Kittaneh, Nots on some inequalities for Hilbert space operators, Publ. Res. Inst. Math. Sci. 24(2) (1988), 283–293.
- [10] F. Kittaneh, Numerical radius inequalities for Hilbert space operators, Studia Math. 168(1) (2005), 73–80.
- [11] F. Kittaneh, Spectral radius inequalities for Hilbert space operator, Proc. Amer. Math. Soc. 134(2) (2005), 385–390.
- [12] F. Kittaneh, Commutator inequalities associated with the polar decomposition, Proc. Amer. Math. Soc. 120(5) (2002), 1279–1283.
- [13] K. Shebrawi, H. Albudawi, Numerical radius and operator norm inequalities, J. Inequal. Appl. 11 (2009).
- [14] J. S. Matharu, M. S. Moslehian, J. S. Aujla, Eigenvalue extensions of Bohr’s inequality, Linear Algebra Appl. 435(2) (2011), 270–276.
- [15] C. A. McCarthy, Cp , Israel J. Math. 5 (1967), 249–271.
- [16] M. E. Omidvar, M. S. Moslehian, A. Niknam, Some numerical radius inequalities for Hilbert space operator, Involve J. Math. 2(4) (2009), 469–476.
Typ dokumentu
Bibliografia
Identyfikator YADDA
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