Approximating commuting operators

被引：17
|
作者：
Holbrook, J
Omladic, M
机构：
[1] Univ Ljubljana, Dept Math, Fac Math & Phys, SL-1000 Ljubljana, Slovenia
[2] Univ Guelph, Dept Math & Stat, Guelph, ON N1G 2W1, Canada
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2001年 / 327卷 / 1-3期
基金：
加拿大自然科学与工程研究理事会;
关键词：
m-tuples of commuting matrices; approximation by generic matrices;
D O I：
10.1016/S0024-3795(00)00286-X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The problem of approximating m-tuples of commuting n x n complex matrices by commuting m-tuples of generic matrices is studied. We narrow the gap for commuting triples by showing that they can be perturbed if n < 6 and that they are not always perturbable if n > 29. (C) 2001 Elsevier Science Inc. All rights reserved.
引用
收藏
页码：131 / 149
页数：19
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