Multivariate extensions of the Golden-Thompson inequality
classification
🧮 math-ph
math.MP
keywords
golden-thompsoninequalitymultivariateappearboundscertainclassicalconcave
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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.
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