English

On some convexity and monotonicity inequalities of Elliott Lieb

Functional Analysis 2022-04-14 v4

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.

Keywords

Cite

@article{arxiv.2202.03591,
  title  = {On some convexity and monotonicity inequalities of Elliott Lieb},
  author = {Eric A. Carlen},
  journal= {arXiv preprint arXiv:2202.03591},
  year   = {2022}
}

Comments

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