Author： Hirzallah Omar
Publisher： Taylor & Francis Ltd
ISSN： 0163-0563
Source： Numerical Functional Analysis and Optimization, Vol.32, Iss.7, 2011-07, pp. : 739-749
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Abstract
Let A, B, X, and Y be bounded linear operators on a complex Hilbert space. It is shown that [image omitted] where w(·) and ‖·‖ are the numerical radius and the usual operator norm, respectively. This inequality includes and improves upon earlier numerical radius inequalities proved in this context. Applications of this inequality are given to obtain new numerical radius inequalities for commutators of self-adjoint and positive operators.
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