Estimates for Entries of Matrix Valued Functions of Infinite Matrices |
| |
| Authors: | M I Gil’ |
| |
| Institution: | (1) Department of Mathematics, Ben Gurion University of the Negev, P.O. Box 653, Beer-Sheva, 84105, Israel |
| |
| Abstract: | Sharp upper estimates for the absolute values of entries of matrix valued functions of infinite matrices, as well as two sided
estimates for the entries of matrix valued functions of infinite M-matrices (monotone matrices) are derived. They give us bounds for the lattice norms of matrix valued functions and positivity
conditions for functions of M-matrices. In addition, some results on perturbations and comparison of matrix functions are proved. Applications of the obtained
estimates to the Hille-Tamarkin matrices and differential equations are also discussed.
This research was supported by the Kamea fund of the Israel |
| |
| Keywords: | Infinite matrices Matrix valued functions Monotone matrices Positivity Hille-Tamarkin matrices Norm estimates Perturbations Comparison |
| 本文献已被 SpringerLink 等数据库收录！ |
|
