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Normal Extensions of Representations of Abelian Semigroups
Published online by Cambridge University Press: 20 November 2018
Abstract
A commuting family of subnormal operators need not have a commuting normal extension. We study when a representation of an abelian semigroup can be extended to a normal representation, and show that it suffices to extend the set of generators to commuting normals. We also extend a result due to Athavale to representations on abelian lattice ordered semigroups.
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- Copyright © Canadian Mathematical Society 2016