Some operator monotone functions

被引：3
作者：
Hansen, Frank [1 ]
机构：
[1] Univ Copenhagen, Dept Econ, DK-1455 Copenhagen, Denmark
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2009年 / 430卷 / 2-3期
关键词：
Operator monotone function; Morozova-Chentsov function; METRICS;
D O I：
10.1016/j.laa.2008.09.028
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the functions t -> (t(q) - 1)(t(p) - 1)(-1) are operator monotone in the positive half-axis for 0 < p <= q <= 1, and we calculate the two associated canonical representation formulae. The result is used to find new monotone metrics (quantum Fisher information) on the state space of quantum systems. (C) 2008 Elsevier Inc. All rights reserved.
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页码：795 / 799
页数：5
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