From quasi-entropy

نویسندگان

  • Fumio Hiai
  • Dénes Petz
چکیده

The subject is the overview of the use of quasi-entropy in finite dimensional spaces. Operator monotone functions and relative modular operators are used. The origin is the relative entropy, and the f -divergence, monotone metrics, covariance and the χ2-divergence are the most important particular cases. The extension of monotone metrics to those with two parameters is a new concept. Monotone metrics are also characterized by their joint convexity property. 2000 Mathematics Subject Classification. Primary 81P45; Secondary 54C70.

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تاریخ انتشار 2010