New numerical radius inequalities for certain operator matrices

• Bani-Domi, Watheq ^[1] ; Bani-Ahmad, Feras Ali ^[2]
  1. [1] Yarmouk University

     Yarmouk University

     Jordania

     
  2. [2] Hashemite University

     Hashemite University

     Jordania

     
• Localización: Proyecciones: Journal of Mathematics, ISSN 0716-0917, ISSN-e 0717-6279, Vol. 31, Nº. 3, 2012, págs. 277-297
• Idioma: inglés
• DOI: 10.4067/S0716-09172012000300007
• Enlaces
  • Texto completo
• Resumen

  • In this paper we prove some upper and lower bounds for the numerical radius of the off-diagonal part of 3 X 3 operator matrices and some bounds for the numerical radius inequalities of the general 3 X 3 operator matrix.

• Referencias bibliográficas
  • Citas [1] Bani-Domi, W., Kittaneh, F.: Norm equalities and inequalities for operator matrices. Linear Algebra and its Applications 429,...
  • [2] Bani-Domi, W., Kittaneh, F.: Numerical radius inequalities for operator matrices. Linear Multilinear Algebra 57, pp. 421-427, (2009).
  • [3] Bhatia, R.: Matrix Analysis. Springer, New York, (1997).
  • [4] Halmos, P. R.: A Hilbert Space Problem Book, 2nd ed. Springer, New York, (1982).
  • [5] Hirzallah, O., Kittaneh, F., Shebrawi, K.: Numerical radius inequalities for commutators of Hilbert space operators. Numer. Funct. Anal....
  • [6] Kittaneh, F.: A numerical radius inequalities and an estimate for the numerical radius of the Frobenius companion matrix. Studia Math....