The Riemannian mean and matrix inequalities related to the Ando-Hiai inequality and chaotic order

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• Takeaki Yamazaki

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• 47A64
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• 47A63
• 47L25

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• positive definite matrices
• the Riemannian manifold
• the Riemannian mean
• matrix inequality
• operator inequality
• arithmetic-geometric mean inequality
• the Ando-Hiai inequality
• chaotic order

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