Multivariate extensions of the Golden-Thompson inequality

Frank Hansen

doi:10.15352/afa/06-4-301

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Home > Journals > Ann. Funct. Anal. > Volume 6 > Issue 4 > Article

2015 Multivariate extensions of the Golden-Thompson inequality

Frank Hansen

Ann. Funct. Anal. 6(4): 301-310 (2015). DOI: 10.15352/afa/06-4-301

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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. "Multivariate extensions of the Golden-Thompson inequality." Ann. Funct. Anal. 6 (4) 301 - 310, 2015. https://doi.org/10.15352/afa/06-4-301