Multivariate extensions of the Golden-Thompson inequality

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.

Application in random matrix theory added

References in corpus (1)

• The Golden-Thompson inequality --- historical aspects and random matrix applications

Cited by in corpus (4)

• Multivariate Trace Inequalities
• Quantum Brascamp-Lieb Dualities
• Variational representations related to Tsallis relative entropy
• On multivariate trace inequalities of Sutter, Berta and Tomamichel