Hirzallah, O., Kittaneh, F. and Shebrawi, K. (2011) Numerical Radius Inequalities for Commutators of Hilbert Space Operators. Numerical Functional Analysis and Optimization, 32, 739-749.
https://doi.org/10.1080/01630563.2011.580875

has been cited by the following article:

• TITLE: Numerical Radius Inequalities for Sums and Products of Operators

  AUTHORS: Wasim Audeh

  KEYWORDS: Numeriacl Radius, Operator Norm, Operator Matrix, Inequality, Equality, Offdiagonal Part

  JOURNAL NAME: Advances in Linear Algebra & Matrix Theory, Vol.9 No.3, July 10, 2019

  ABSTRACT: A numerical radius inequality due to Shebrawi and Albadawi says that: If Ai, Bi, Xi are bounded operators in Hilbert space, i = 1,2,..., n , and f,g be nonnegative continuous functions on [0, ∞) satisfying the relation f(t)g(t) = t (t∈[0, ∞)), then for all r≥1. We give sharper numerical radius inequality which states that: If Ai, Bi, Xi are bounded operators in Hilbert space, i = 1,2,..., n , and f,g be nonnegative continuous functions on [0, ∞) satisfying the relation f(t)g(t) = t (t∈[0, ∞)), then where . Moreover, we give many numerical radius inequalities which are sharper than related inequalities proved recently, and several applications are given.