On the Ando-Hiai property for spectral geometric means (2512.22807v1)

Published 28 Dec 2025 in math.FA

Abstract: In this paper, we consider a two-variable operator function that includes two weighted spectral geometric means, and show fundamental properties of the operator function. Moreover, it satisfies the Ando-Hiai type inequality under some restricted conditions. As an application, we show the log-majorization relations and norm inequalities for the spectral geometric means of positive definite matrices.

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