Notes on the Norm Estimates for the Sum of Two Matrices

被引：0
|
作者：
Man Duen Choi
机构：
[1] University of Toronto,Department of Mathematics
来源：
Acta Mathematica Sinica | 2003年 / 19卷
关键词：
Ultimate norm estimate; Triangle inequality; Spectral variation; Non-commuting normal matrices; 47A30; 15A60;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This is a lecture note of my joint work with Chi-Kwong Li concerning various results on the norm structure of n × n matrices (as Hilbert-space operators). The main result says that the triangle inequality serves as the ultimate norm estimate for the upper bounds of summation of two matrices. In the case of summation of two normal matrices, the result turns out to be a norm estimate in terms of the spectral variation for normal matrices.
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页码：595 / 598
页数：3
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