Monotone trace functions of several variables

Frank Hansen

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)

Abstract

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
Volume16
Issue number7
DOIs
Publication statusPublished - 2005 Aug

Keywords

  • Jensen's inequality
  • Trace functions
  • Weak majorization

ASJC Scopus subject areas

  • Mathematics(all)

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