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SOME INEQUALITIES FOR THE NUMERICAL RADIUS FOR HILBERT SPACE OPERATORS
Published online by Cambridge University Press: 26 September 2016
Abstract
We introduce some new refinements of numerical radius inequalities for Hilbert space invertible operators. More precisely, we prove that if $T\in {\mathcal{B}}({\mathcal{H}})$ is an invertible operator, then
$\Vert T\Vert \leq \sqrt{2}\unicode[STIX]{x1D714}(T)$.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 94 , Issue 3 , December 2016 , pp. 489 - 496
- Copyright
- © 2016 Australian Mathematical Publishing Association Inc.
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