Article ID Journal Published Year Pages File Type
4599945 Linear Algebra and its Applications 2013 9 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory