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arXiv · 2502.04096

Further bounds on $q$-numerical radius of Hilbert space operators

Satyajit Sahoo·Nirmal Chandra Rout
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Abstract

In this article, we developed a series of new inequalities involving the $q$-numerical radius for operators and $2\times 2$ operator matrices. These inequalities serve to establish both lower and upper bounds for the $q$-numerical radius of operators. Additionally, we established $q$-numerical radius inequalities for operators via Buzano inequality.

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Satyajit Sahoo, Nirmal Chandra Rout. 2025-02-06. Further bounds on $q$-numerical radius of Hilbert space operators. https://arxiv.org/abs/2502.04096

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