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arXiv · 2008.13708

Numerical radius inequalities of operator matrices from a new norm on $\mathcal{B}(\mathcal{H})$

P. Bhunia·A. Bhanja·D. Sain·K. Paul
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Abstract

This paper is a continuation of a recent work on a new norm, christened the $ (\alpha, \beta)$-norm, on the space of bounded linear operators on a Hilbert space. We obtain some upper bounds for the said norm of $n\times n$ operator matrices. As an application of the present study, we estimate bounds for the numerical radius and the usual operator norm of $n\times n$ operator matrices, which generalize the existing ones.

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P. Bhunia, A. Bhanja, D. Sain, K. Paul. 2020-08-31. Numerical radius inequalities of operator matrices from a new norm on $\mathcal{B}(\mathcal{H})$. https://doi.org/10.18514/mmn.2023.3934

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