Abstract
Norm inequalities related to geometric means are discussed by many researchers. Though the operator norm is unitarily invariant one, the numerical radius is not so and unitarily similar. In this paper, we prove some numerical radius inequalities that are related to operator geometric means and spectral geometric ones of real power for positive invertible operators.
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Acknowledgements
This work is supported in part by JSPS KAKENHI Grant Number JP23K03249.
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Communicated by Man-Duen Choi.
Dedicated to Professor Chi-Kwong Li on the occasion of his 65th birthday.
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Seo, Y. Numerical radius and geometric means of real power. Adv. Oper. Theory 9, 29 (2024). https://doi.org/10.1007/s43036-024-00328-7
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DOI: https://doi.org/10.1007/s43036-024-00328-7