Approximation by matrices with simple spectra

被引：1
作者：
Gumerov R.N. [1 ]
Vidunov S.I. [1 ]
机构：
[1] Chair of Mathematical Analysis, Lobachevskii Institute of Mathematics and Mechanics, Kazan Federal University, Kremlevskaya 35, Kazan, Tatarstan
来源：
Lobachevskii Journal of Mathematics | 2016年 / 37卷 / 3期
关键词：
Approximation; matrix; open mapping; perturbation; simple eigenvalue; simple spectrum; tensor; topological group;
D O I：
10.1134/S1995080216030112
中图分类号：
学科分类号：
摘要：
This note deals with a problem on approximation of a matrix tuple by a finite family of diagonalizable matrices with simple eigenvalues. In addition, for a given tuple of matrix functions, it is required that the product of their values at those diagonalizable matrices has a simple spectrum. We solve this problem making use of topological properties of the full matrix algebra. © 2016, Pleiades Publishing, Ltd.
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页码：240 / 243
页数：3
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