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Abstract <p>In this paper, we establish a new arithmetic-geometric mean type inequality for positive definite matrices. As an application, we use the new inequality to characterize operator monotone functions.</p>

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An Unexpected AGM-Type Inequality and a New Characterization of Operator Monotone Functions

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • T. H. Dinh,
  • A. T. Nguyen,
  • D. A. N. Nguyen,
  • H. T. L. Truong

摘要

Abstract

In this paper, we establish a new arithmetic-geometric mean type inequality for positive definite matrices. As an application, we use the new inequality to characterize operator monotone functions.