Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4601363 | Linear Algebra and its Applications | 2010 | 8 Pages |
Abstract
If S is an irreducible semigroup of complex matrices and if every member of S has nonnegative diagonal entries, then is S simultaneously similar to a semigroup of nonnegative matrices? Partial affirmative answers to this and its infinite-dimensional analogue are given and several counterexamples presented.
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