Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture

Elliott H. Lieb
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Elliott H. Lieb: Institut des Hautes Etudes Scientifiques

A chapter in Inequalities, 2002, pp 113-134 from Springer

Abstract: Abstract Several convex mappings of linear operators on a Hilbert space into the real numbers are derived, an example being A → — 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.

Keywords: Hilbert Space; Strong Subadditivity; Finite Dimensional Hilbert Space; Nonnegative Real; Finite Dimen (search for similar items in EconPapers)
Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-642-55925-9_13

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DOI: 10.1007/978-3-642-55925-9_13

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