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arXiv · 2306.04296

New upper bounds for the $q$-numerical radius of Hilbert space operators

Arnab Patra·Falguni Roy
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Abstract

This article introduces several new upper bounds for the $q$-numerical radius of bounded linear operators on complex Hilbert spaces. Our results refine some of the existing upper bounds in this field. The $q$-numerical radius inequalities of products and commutators of operators follow as special cases. Finally, some new inequalities for the $q$-numerical radius of $2 \times 2$ operator matrices are established.

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BibTeXRIS

Arnab Patra, Falguni Roy. 2023-06-07. New upper bounds for the $q$-numerical radius of Hilbert space operators. https://arxiv.org/abs/2306.04296

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