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.
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页码：269 / 281
页数：13
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