Research Article

On p-numerical radius inequalities for commutators of operators

Published in: Quaestiones Mathematicae
Volume 48 , issue 3 , 2025 , pages: 417–428

DOI: 10.2989/16073606.2024.2397562

Author(s): Abdelkader Frakis Mustapha Stambouli University, Algeria , Fuad Kittaneh The University of Jordan, Jordan

Keywords: 47A12 , 47A30 , 47B10 , 47B15 , Schatten p-norm , p-numerical radius , operator norm , commutator , inequality

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Abstract

In this work, we give some p-numerical radius inequalities for operators as well as for commutators of operators. As applications, when p = ∞, we improve some earlier numerical radius inequalities for operators. Also, we refine the triangle inequalities for the numerical radius and the operator norm.

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