Tam T.-Y., Liu X. Matrix Inequalities and Their Extensions to Lie Groups

Boca Raton, USA: CRC Press, Taylor & Francis Group, 2018. — 159 p. — (Monographs and Research Notes in Mathematics). — ISBN: 1498796168.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.Review of Matrix Theory
Structure Theory of Semisimple Lie Groups
Inequalities for Matrix Exponentials
Inequalities for Spectral Norm
Inequalities for Unitarily Invariant Norms
Inequalities for Geometric Means
Kostant Convexity Theorems