On the existence of a common eigenvector for all matrices in the commutant of a single matrix

被引：2
|
作者：
Dolors Magret, M. [1 ]
Eulalia Montoro, M. [1 ]
机构：
[1] UPC, MAI, Barcelona 08028, Spain
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 437卷 / 05期
关键词：
Invariant subspaces; Commutant; INVARIANT SUBSPACES;
D O I：
10.1016/j.laa.2012.04.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
main purpose of this paper is to study common invariant subspaces of any matrix in the centralizer of a given matrix A is an element of M-n(F), where F denotes an algebraically closed field. In particular, we obtain a necessary and sufficient condition for the existence of a common eigenvector for all the matrices in this set. (C) 2012 Elsevier Inc. All rights reserved.
引用
收藏
页码：1285 / 1292
页数：8
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