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On matrix semigroups bounded above and below
Published 9 Jun 2013 in math.FA, math.GR, and math.OA | (1306.1974v1)
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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