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

页码：1285 / 1292

页数：8

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