Numerical radius inequalities of product and tensor product of operators

Document Type : Original Article

Authors

Ahmed Elbarbouchi ¹

Mohamed Chraibi Kaadoud ²

¹ Department of Mathematics, Faculty of Science, Ibn Zohr University, Agadir, Morocco.

² Cadi Ayyad University, Faculty of Science Semlalia, Department of Mathematics, Marrakesh, Morocco

10.22034/kjm.2025.485136.3358

Abstract

In this paper, we give new numerical radius inequalities for bounded linear operators, product of bounded linear operators and tensor product of two operators acting on complex Hilbert spaces. These inequalities improve and refine earl ier well - known results. Also we extend our obtained results to semi Hilbert spaces.

Keywords

Numerical range

numerical radius

tensor product

Subjects

• 46 Functional analysis

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