Trace inequalities and quantum entropy: an introductory course

2010/01/01 by Eric A. Carlen · 8 citations
Mathematics · #Advanced Operator Algebra Research #Mathematical Inequalities and Applications #Random Matrices and Applications

paper · doi:10.1090/conm/529/10428

openalex publication_date 2010/01/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/02

Abstract

We give an elementary introduction to the subject of trace inequalities and related topics in analysis, with a special focus on results that are relevant to quantum statistical mechanics. This is a preliminary draft prepared for participants in Entropy and the Quantum: A school on analytic and functional inequalities with applications, Tucson, Arizona, March 16-20, 2009. Mathematics subject classification numbers: 47A63, 15A90

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