Monotone trace functions of several variables

Frank Hansen

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


We investigate monotone operator functions of several variables under a trace or a trace-like functional. In particular, we prove the inequality τ (x1⋯xn) ≤ τ(y1⋯y n) for a trace τ on a C*-algebra and abelian n-tuples (x1,...,xn) ≤ (y1,..., yn) of positive elements. We formulate and prove Jensen's inequality for expectation values, and we study matrix functions of several variables which are convex or monotone with respect to the weak majorization for matrices.

Original languageEnglish
Pages (from-to)777-785
Number of pages9
JournalInternational Journal of Mathematics
Issue number7
Publication statusPublished - 2005 Aug


  • Jensen's inequality
  • Trace functions
  • Weak majorization

ASJC Scopus subject areas

  • Mathematics(all)


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