Comments on conjectures of trace inequalities on a generalized Wigner-Yanase skew information

被引：3
|
作者：
Ko, Chul Ki [1 ]
机构：
[1] Yonsei Univ, Dept Computat Sci & Engn, Seoul 120749, South Korea
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2010年 / 369卷 / 01期
关键词：
Trace inequality; Wigner-Yanase skew information; Wigner-Yanase-Dyson skew information; Uncertainty relation;
D O I：
10.1016/j.jmaa.2010.02.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Furuichi, Yanagi and Kuriyama gave three conjectures of trace inequalities on the Wigner-Yanase-Dyson skew information and a generalized Wigner-Yanase skew information (Furuichi et al. (2009) [1]) and Yanagi found a counterexample showing that two of the three conjectures don't hold (Yanagi (2010) 16)). In this note, we show that the last conjecture does not hold in general. In addition, we show that in the case of 2 x 2 matrices the conjecture is true. (C) 2010 Elsevier Inc. All rights reserved.
引用
收藏
页码：164 / 167
页数：4
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