Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4598535 | Linear Algebra and its Applications | 2016 | 13 Pages |
Abstract
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 (1âP)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).
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Mitja Mastnak, Matjaž OmladiÄ, Heydar Radjavi,