On norm inequalities related to the geometric mean (Q6040651)
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scientific article; zbMATH DE number 7687203
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On norm inequalities related to the geometric mean |
scientific article; zbMATH DE number 7687203 |
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On norm inequalities related to the geometric mean (English)
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19 May 2023
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The authors give an affirmative answer to a conjecture posed by \textit{T. H. Dinh} et al. [Czech. Math. J. 66, No. 3, 777--792 (2016; Zbl 1413.15039)]. For this purpose, they prove a more general norm inequality related to the geometric mean, which leads to some known results as well.
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Bourin's question
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geometric mean
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inequality
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positive semidefinite matrix
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trace norm
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unitarily invariant norm
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