Some operator monotone functions

Frank Hansen

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


We prove that the functions t → (tq - 1) (tp - 1)- 1 are operator monotone in the positive half-axis for 0 < p ≤ q ≤ 1, and we calculate the two associated canonical representation formulae. The result is used to find new monotone metrics (quantum Fisher information) on the state space of quantum systems.

Original languageEnglish
Pages (from-to)795-799
Number of pages5
JournalLinear Algebra and Its Applications
Issue number2-3
Publication statusPublished - 2009 Jan 15
Externally publishedYes


  • Morozova-Chentsov function
  • Operator monotone function

ASJC Scopus subject areas

  • Algebra and Number Theory
  • Numerical Analysis
  • Geometry and Topology
  • Discrete Mathematics and Combinatorics


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