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arxiv: 1905.01929 · v1 · pith:CZ2LRDUGnew · submitted 2019-05-06 · 🧮 math.FA

Ando-Hiai type inequalities for operator means and operator perspectives

classification 🧮 math.FA
keywords operatorperspectivesando-hiaiinequalitiesmeansconsiderexistingextension
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We improve the existing Ando-Hiai inequalities for operator means and present new ones for operator perspectives in several ways. We also provide the operator perspective version of the Lie-Trotter formula and consider the extension problem of operator perspectives to non-invertible positive operators.

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