Matrix Inequalities and Their Extensions to Lie Groups gives a systematic and updated account of recent important extensions of classical matrix results, especially matrix inequalities, in the context of Lie groups. It is the first systematic work in the area and will appeal to linear algebraists and Lie group researchers.
1 Review of Matrix Theory
2 Structure Theory of Semisimple Lie Groups
3 Inequalities for Matrix Exponentials
4 Inequalities for Spectral Norm
5 Inequalities for Unitarily Invariant Norms
6 Inequalities for Geometric Means
7 Kostant Convexity Theorems