Abstract
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) [6]). In this note, we show that the last conjecture does not hold in general. In addition, we show that in the case of 2×2 matrices the conjecture is true.
Original language | English |
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Pages (from-to) | 164-167 |
Number of pages | 4 |
Journal | Journal of Mathematical Analysis and Applications |
Volume | 369 |
Issue number | 1 |
DOIs | |
Publication status | Published - 2010 Sept |
All Science Journal Classification (ASJC) codes
- Analysis
- Applied Mathematics