Article ID Journal Published Year Pages File Type
4598535 Linear Algebra and its Applications 2016 13 Pages PDF
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 (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).
Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory
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