Ando-Hiai type inequalities for operator means and operator perspectives

Published 6 May 2019 in math.FA | (1905.01929v1)

Abstract: 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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