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Ando-Hiai type inequalities for multivariate operator means. (English) Zbl 1514.47030

Summary: 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.

MSC:

47A64 Operator means involving linear operators, shorted linear operators, etc.
47A63 Linear operator inequalities
47B65 Positive linear operators and order-bounded operators
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