On the characterisation of paired monotone metrics

  • Paolo Gibilisco
  • Tommaso Isola

DOI: 10.1007/BF02530551

Cite this article as:
Gibilisco, P. & Isola, T. Ann Inst Stat Math (2004) 56: 369. doi:10.1007/BF02530551


Hasegawa and Petz introduced the notion of paired monotone metrics. They also gave a characterisation theorem showing that Wigner-Yanase-Dyson metrics are the only members of the paired family. In this paper we show that the characterisation theorem holds true under hypotheses that are more general than those used in the above quoted references.

Key words and phrases

Monotone metricsWigner-Yanase-Dyson information

Copyright information

© The Institute of Statistical Mathematics 2004

Authors and Affiliations

  • Paolo Gibilisco
    • 1
  • Tommaso Isola
    • 2
  1. 1.Dipartimento di Scienze, Facoltà di EconomiaUniversità di Chieti-Pescara “G. D’Annunzio”PescaraItaly
  2. 2.Dipartimento di MatematicaUniversità di Roma “Tor Vergata”RomaItaly
  3. 3.Centro Vito VolterraUniversita di Roma “Tor Vergata”RomeItaly