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arXiv · 2608.08507

Weighted numerical radii of accretive matrices

Alemeh Sheikhhosseini·Maram Khosravi
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Abstract

In this paper, we consider the notion of the weighted numerical radius, denoted by $ \omega_{\nu}(A)$, for the class of accretive matrices, where \\ $ \nu \in [0, 1].$ This notion generalizes both the classical numerical radius and the operator norm. All of the obtained inequalities reduce to the corresponding classical inequalities when $ \nu=1/2 $ or when the matrix is positive definite.

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Alemeh Sheikhhosseini, Maram Khosravi. 2026-08-09. Weighted numerical radii of accretive matrices. https://arxiv.org/abs/2608.08507

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