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A generalization of the numerical radius
Journal article   Open access  Peer reviewed

A generalization of the numerical radius

Amer Abu-Omar and Fuad Kittaneh
Linear algebra and its applications, Vol.569, pp.323-334
15/05/2019
DOI: https://doi.org/10.1016/j.laa.2019.01.019

Abstract

Hilbert–Schmidt norm Inequality Numerical radius Spectral radius Usual operator norm
We define a norm on the space of bounded linear operators on a Hilbert space, which generalizes the numerical radius norm. We investigate basic properties of this norm and prove inequalities involving it. A concrete example of this norm is also given.
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https://doi.org/10.1016/j.laa.2019.01.019View
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