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On the characterisation of paired monotone metrics

P. Gibilisco·T. Isola
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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.

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P. Gibilisco, T. Isola. 2003-11-28. On the characterisation of paired monotone metrics. https://arxiv.org/abs/math/0303059

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