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arXiv · 1306.1974

On matrix semigroups bounded above and below

Alexey I. Popov
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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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Alexey I. Popov. 2013-06-09. On matrix semigroups bounded above and below. https://arxiv.org/abs/1306.1974

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