MULTIVARIATE EXTENSIONS OF THE GOLDEN-THOMPSON INEQUALITY

作者：Hansen Frank^*

来源：Annals of Functional Analysis, 2015, 6(4): 301-310.

DOI：10.15352/afa/06-4-301

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

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.

• 出版日期2015