arXiv:1406.5686 Abstract | arXiv Analytics

arXiv:1406.5686 [math-ph]Abstract References Reviews Resources

Multivariate extensions of the Golden-Thompson inequality

Published 2014-06-22, updated 2014-07-02Version 2

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.

Comments: Application in random matrix theory added

Categories: math-ph, math.MP

Subjects: 47A63

Keywords: golden-thompson inequality, multivariate extensions, study concave trace functions, operator variables, multivariate generalisations

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