论文信息 - Estimate for the norm of matrix-valued functions

Estimate for the norm of matrix-valued functions

New precise estimates for a norm of matrix-valued functions are obtained. These estimates improve I. Gel'fand's and G. Shilov's estimate for regular functions of matrices and carleman's estimate for resolvents. Applications to differential equations and to spectrum perturbations are considered.

Michael Gil | M. Gil'

[1] M. Marcus,et al. A Survey of Matrix Theory and Matrix Inequalities , 1965 .

[2] M. Kreĭn,et al. Stability of Solutions of Differential Equations in Banach Spaces , 1974 .

[3] Tosio Kato. Perturbation theory for linear operators , 1966 .

[4] Saber Elaydi. Differential Equations : Stability and Control , 1990 .