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arXiv · 1406.5686

Multivariate extensions of the Golden-Thompson inequality

Frank Hansen
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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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Frank Hansen. 2014-07-02. Multivariate extensions of the Golden-Thompson inequality. https://doi.org/10.15352/afa%2F06-4-301

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