Ando-Hiai and Golden-Thomspon inequalities

2020/03/24 by Mohammad Sababheh, M. Sababheh, Hamid Reza Moradi +3
Mathematics · #Analytic and geometric function theory #FOS: Mathematics #Functional Analysis (math.FA) #Functional Equations Stability Results #Mathematical Inequalities and Applications #math.FA

paper · pdf · doi:10.48550/arxiv.2003.10893

arxiv created 2020/03/24 · openalex publication_date 2020/03/24 · arxiv updated 2020/03/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The original Ando-Hiai and Golden-Thompson inequalities present comparisons for the operator geometric mean \sharp_v when 0≤ v≤ 1. Our main target in this article is to study these celebrated inequalities for means other than the geometric mean and for the geometric mean when v\not∈ [0,1].

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