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Multivariate extensions of the Golden-Thompson inequality

Published 22 Jun 2014 in math-ph and math.MP | (1406.5686v2)

Abstract: 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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