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.

chapter 1|39 pages

Review of Matrix Theory

chapter 2|26 pages

Structure Theory of Semisimple Lie Groups

chapter 3|23 pages

Inequalities for Matrix Exponentials

chapter 4|11 pages

Inequalities for Spectral Norm

chapter 6|11 pages

Inequalities for Geometric Means

chapter 7|17 pages

Kostant Convexity Theorems