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arXiv · 2506.23642

A new seminorm of $n$-tuple operators and its applications

Pintu Bhunia·Messaoud Guesba
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Abstract

We introduce a new seminorm of $n$-tuple operators, which generalizes the $A$-Euclidean operator radius of $n$-tuple bounded linear operators on a complex Hilbert space. We introduce and study basic properties of this seminorm. As an application of the present study, we estimate bounds for the $A$-Euclidean operator radius ($A$-joint numerical radius). In addition, we improve on some of the important existing $A$-numerical radius inequalities and related results.

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Pintu Bhunia, Messaoud Guesba. 2025-06-30. A new seminorm of $n$-tuple operators and its applications. https://arxiv.org/abs/2506.23642

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