This book presents a substantial part of matrix analysis that is functional analytic in spirit. Topics covered include the theory of majorization, variational principles for eigenvalues, operator monotone and convex functions, and perturbation of matrix functions and matrix inequalities. The book offers several powerful methods and techniques of wide applicability, and it discusses connections with other areas of mathematics.
The best book about majorization, double stochasticity, and operator monotonicity you'll ever read! Or not. Your choice, but I tell you, if you don't read it you're missing out...