Ando-Hiai type inequalities for multivariate operator means

Abstract

We present several Ando-Hiai type inequalities for $n$-variable operator means for positive invertible operators. Ando-Hiai's inequalities given here are not only of the original type but also of the complementary type and of the reverse type involving the generalized Kantorovich constant.

30 pages

References in corpus (1)

• Operator means of probability measures and generalized Karcher equations

Cited by in corpus (1)

• Geometric convexity of an operator mean