Strongly subadditive functions

被引：0
|
作者：
K. Audenaert
F. Hiai
D. Petz
机构：
[1] University of London,Department of Mathematics, Royal Holloway
[2] Tohoku University,Graduate School of Information Sciences
[3] Alfréd Rényi Institute of Mathematics,undefined
来源：
Acta Mathematica Hungarica | 2010年 / 128卷
关键词：
strong subadditivity; operator monotone functions; operator concave functions; trace inequality; primary 47A63; secondary 26A51, 45A90;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Let f: ℝ+ → ℝ. The subject is the trace inequality Tr f(A) + Tr f(P2AP2) ≦ Tr f(P12AP12) + Tr f(P23AP23), where A is a positive operator, P1; P2; P3 are orthogonal projections such that P1 + P2 + P3 = I, P12 = P1 + P2 and P23 = P2 + P3. There are several examples of functions f satisfying the inequality (called (SSA)) and the case of equality is described.
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页码：386 / 394
页数：8
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