On some convexity and monotonicity inequalities of Elliott Lieb

2022/02/08 by Carlen, Eric A. · 1 citation
#46N50 #47A63 #81P45 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2202.03591

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.

Cited by

• Log-majorizations between quasi-geometric type means for matrices

Related

• Convex functions and means of matrices
• Hermitian operators and convex functions
• On a convexity problem
• Local characterizations for the matrix monotonicity and convexity of fixed order
• Inequalities for a number of different types of convexity