Annals of Functional Analysis

Multivariate extensions of the Golden-Thompson inequality

Frank Hansen

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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.

Article information

Ann. Funct. Anal., Volume 6, Number 4 (2015), 301-310.

First available in Project Euclid: 1 July 2015

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Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 47A63: Operator inequalities
Secondary: 15A45: Miscellaneous inequalities involving matrices

Golden-Thompson's trace inequality multivariate trace inequality concave trace function


Hansen, Frank. Multivariate extensions of the Golden-Thompson inequality. Ann. Funct. Anal. 6 (2015), no. 4, 301--310. doi:10.15352/afa/06-4-301.

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