A generalization of the numerical radius

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.

Bibliographische Detailangaben

Veröffentlicht in:	Linear algebra and its applications 2019-05, Vol.569, p.323-334
Hauptverfasser:	Abu-Omar, Amer, Kittaneh, Fuad
Format:	Artikel
Sprache:	eng
Schlagworte:	Hilbert space Hilbert–Schmidt norm Inequality Linear algebra Linear operators Numerical radius Spectral radius Usual operator norm
Online-Zugang:	Volltext
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