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.

引用

页码：240 / 243

页数：3