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math.FA2018★ 3 cited
An integral representation of operator means via the power means and an application to the Ando-Hiai inequality
Takeaki Yamazaki
An integral representation of an operator mean via the power means is obtained. As an application, we shall give explicit condition of operator means that the Ando-Hiai inequality…
math.FA2018
The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results
Takeaki Yamazaki
In this paper, we shall give a concrete relation between the generalized Karcher equation and operator means as its solution. Next, we shall show two types of the Ando-Hiai inequal…