Positive Definiteness of Functions with Applications to Operator Norm Inequalities

被引：1
作者：
Kosaki, Hideki [1 ]
机构：
[1] Kyushu Univ, Fac Math, Nishi Ku, Fukuoka 819039, Japan
来源：
MEMOIRS OF THE AMERICAN MATHEMATICAL SOCIETY | 2011年 / 212卷 / 997期
关键词：
Fourier transform; Heinz inequality; Hilbert space operator; operator arithmetic-geometric mean inequality; operator mean; norm inequality; positive definite function; positive operator; unitarily invariant norm; UNITARILY-INVARIANT NORMS; GEOMETRIC MEAN INEQUALITY; INTEGRALS; MATRICES;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Positive definiteness is determined for a wide class of functions relevant in the study of operator means and their norm comparisons. Then, this information is used to obtain an abundance of new sharp (unitarily) norm inequalities comparing various operator means and sometimes other related operators.
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页码：1 / +
页数：79
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