Near-invariant subspaces for matrix groups are nearly invariant

被引：0

作者：

Mastnak, Mitja ^{[1
]}

Omladic, Matjaz ^{[2
,3
]}

Radjavi, Heydar ^{[4
]}

机构：

[1] St Marys Univ, Dept Math, Halifax, NS B3H 3C3, Canada

[2] Inst Math Phys & Mech, Ljubljana, Slovenia

[3] Jozef Stefan Inst, Ljubljana, Slovenia

[4] Univ Waterloo, Dept Pure Math, Waterloo, ON N2L 3G1, Canada

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2016年 / 505卷

基金：

加拿大自然科学与工程研究理事会;

关键词：

Group; Semigroup; Reducibility; Invariant subspaces;

D O I：

10.1016/j.laa.2016.05.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let S be a semigroup of invertible matrices. It is shown that if P is an idempotent matrix of rank and co-rank at least two such that the rank of (1 - P)SP is never more than one for S in S (the range of the kind of P is said to be near-invariant), then S has an invariant subspace within one dimension of the range of P (the kind of range is said to be nearly invariant). (C) 2016 Elsevier Inc. All rights reserved.

引用

页码：269 / 281

页数：13

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