Convex trace functions and the Wigner-Yanase-Dyson conjecture

Elliott Lieb

Research output: Contribution to journalArticle

320 Scopus citations


Several convex mappings of linear operators on a Hilbert space into the real numbers are derived, an example being A {multimap} - Tr exp(L + In A). Some of these have applications to physics, specifically to the Wigner-Yanase-Dyson conjecture which is proved here and to the strong subadditivity of quantum mechanical entropy which will be proved elsewhere.

Original languageEnglish (US)
Pages (from-to)267-288
Number of pages22
JournalAdvances in Mathematics
Issue number3
StatePublished - Jan 1 1973

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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