Ando-Hiai type inequalities for multivariate operator means

2018/04/05 by Fumio Hiai, Hiai, Fumio, Yūki Seo +3
Mathematics · #47A63 #47A64 #47B65 #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications

paper · pdf · doi:10.48550/arxiv.1804.01881

openalex publication_date 2018/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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