Accretive operator means and the reverse arithmetic-geometric-harmonic inequality

被引：0
作者：
Udagawa, Yoichi [1 ]
机构：
[1] Ritsumeikan Univ, Dept Math Sci, Kusatsu, Shiga 5258577, Japan
来源：
ADVANCES IN OPERATOR THEORY | 2022年 / 7卷 / 02期
关键词：
Operator mean; Operator monotone function; Operator inequality; Accretive operator;
D O I：
10.1007/s43036-022-00184-3
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the accretive operator (bounded linear operator with positive invertible real part) version of an operator mean, and give some properties of it. We also establish the reverse arithmetic-geometric-harmonic inequality for A = X + iY , B = X - iY (X > 0 , Y = Y*).
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页数：11
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