Multivariate extensions of the Golden-Thompson inequality

Frank Hansen

Research output: Contribution to journalArticlepeer-review

4 Citations (Scopus)


We study concave trace functions of several operator variables and formulate and prove multivariate generalisations of the Golden-Thompson inequality. The obtained results imply that certain functionals in quantum statistical mechanics have bounds of the same form as they appear in classical physics.

Original languageEnglish
Pages (from-to)301-310
Number of pages10
JournalAnnals of Functional Analysis
Issue number4
Publication statusPublished - 2015


  • Concave trace function
  • Golden-Thompson's trace inequality
  • Multivariate trace inequality

ASJC Scopus subject areas

  • Analysis
  • Anatomy
  • Algebra and Number Theory


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