The Ando-Hiai inequalities for the solution of the generalized Karcher equation and related results
arXiv:1802.06200
Abstract
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 inequalities for the solution of the generalized Karcher equation. In this discussion, we also give a property of relative operator entropy.
16 pages