Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4599945 | Linear Algebra and its Applications | 2013 | 9 Pages |
Abstract
An irreducible norm closed semigroup of complex matrices is simultaneously similar to a semigroup of partial isometries if and only if (a) the norms of all nonzero members of it are uniformly bounded above and below, and (b) its idempotents commute. This is a generalization of the well-known result on bounded groups.
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Physical Sciences and Engineering
Mathematics
Algebra and Number Theory