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arXiv · 2411.04875

Upper bounds of numerical radius and $a$-numerical radius in $\mathcal{C}^*$-algebra setting using Orlicz functions

Saikat Mahapatra·Riddhick Birbonshi·Arnab Patra
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Abstract

In this paper, several significant upper bounds for the numerical radius and $a$-numerical radius of an element in a $\mathcal{C}^*$-algebra are obtained using Orlicz functions. Many well-known results are obtained from our findings, depending on specific choices of Orlicz functions.

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Saikat Mahapatra, Riddhick Birbonshi, Arnab Patra. 2024-11-07. Upper bounds of numerical radius and $a$-numerical radius in $\mathcal{C}^*$-algebra setting using Orlicz functions. https://arxiv.org/abs/2411.04875

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