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arXiv · 2004.09663

Sharp operator mean inequalities of the numerical radii

Hosna Jafarmanesh·Maryam Khosravi
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Abstract

We present several sharp upper bounds and some extension for product operators. Among other inequalities, it is shown that if , , are non-negative continuous functions on such that , , then for all non-negative operator monotone decreasing function on , we obtain that As an application of the above inequality, it is shown that where, and .

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Hosna Jafarmanesh, Maryam Khosravi. 2020-04-20. Sharp operator mean inequalities of the numerical radii. https://arxiv.org/abs/2004.09663

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