Geodesic
Normal Extensions of Representations of Abelian Semigroups
Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 564-574

Voir la notice de l'article provenant de la source Cambridge University Press

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.
DOI : 10.4153/CMB-2016-021-x
Mots-clés : 47B20, 47A20, 47D03, subnormal operator, normal extension, regular dilation, lattice ordered semigroup 
Li, Boyu. Normal Extensions of Representations of Abelian Semigroups. Canadian mathematical bulletin, Tome 59 (2016) no. 3, pp. 564-574. doi: 10.4153/CMB-2016-021-x
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