On the characterisation of paired monotone metrics
Probability
2007-05-23 v2
Abstract
Hasegawa and Petz introduced the notion of dual statistically monotone metrics. They also gave a characterisation theorem showing that Wigner-Yanase-Dyson metrics are the only members of the dual family. In this paper we show that the characterisation theorem holds true under more general hypotheses.
Keywords
Cite
@article{arxiv.math/0303059,
title = {On the characterisation of paired monotone metrics},
author = {P. Gibilisco and T. Isola},
journal= {arXiv preprint arXiv:math/0303059},
year = {2007}
}
Comments
12 pages, to appear on Ann. Inst. Stat. Math.; v2: changes made to conform to accepted version, title changed as well