Research Article

On p-numerical radius inequalities for commutators of operators

Published in: Quaestiones Mathematicae
Volume 48 , issue 3 : Entrepreneurship and Africa’s Cultural Context , 2024 , 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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