Estimates for entries of matrix valued functions of infinite matrices

被引：13
|
作者：
Gil, M. I. [1 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源：
MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY | 2008年 / 11卷 / 02期
关键词：
infinite matrices; matrix valued functions; monotone matrices; positivity; Hille-Tamarkin matrices; norm estimates; perturbations; comparison;
D O I：
10.1007/s11040-008-9046-7
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：175 / 186
页数：12
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