On the numerical radius of the product of Hilbert space operators

Fuad KITTANEH; Hamid Reza MORADI; Mohammad SABABHEH

doi:10.14492/hokmj/2023-701

October 2024 On the numerical radius of the product of Hilbert space operators

Fuad KITTANEH, Hamid Reza MORADI, Mohammad SABABHEH

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Abstract

In this paper, we discuss inequalities for the numerical radius of the product of two Hilbert space operators. The significance of the obtained results is in the way they interpolate and improve several known inequalities in the literature. The equality cases are also discussed.

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Fuad KITTANEH. Hamid Reza MORADI. Mohammad SABABHEH. "On the numerical radius of the product of Hilbert space operators." Hokkaido Math. J. 53 (3) 395 - 420, October 2024. https://doi.org/10.14492/hokmj/2023-701

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Received: 3 January 2023; Revised: 2 July 2023; Published: October 2024

First available in Project Euclid: 17 October 2024

Digital Object Identifier: 10.14492/hokmj/2023-701

Subjects:

Primary: 47A30

Secondary: 15A60 , 47A12

Keywords: numerical radius , operator norm , positive operator , triangle inequality

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