On some convexity and monotonicity inequalities of Elliott Lieb

Abstract

A fundamental paper of Elliott Lieb from 1973 has been the basis for much beautiful work on matrix inequalities by many people over the following years. We review a well-connected set of these developments. Some new proofs are provided.

arXiv commentThis version is a more polished version of the previous versions; I am grateful to colleagues for their suggestions, noted in this version