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

DOI

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
@article{10_4153_CMB_2016_021_x,
     author = {Li, Boyu},
     title = {Normal {Extensions} of {Representations} of {Abelian} {Semigroups}},
     journal = {Canadian mathematical bulletin},
     pages = {564--574},
     year = {2016},
     volume = {59},
     number = {3},
     doi = {10.4153/CMB-2016-021-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-021-x/}
}
TY  - JOUR
AU  - Li, Boyu
TI  - Normal Extensions of Representations of Abelian Semigroups
JO  - Canadian mathematical bulletin
PY  - 2016
SP  - 564
EP  - 574
VL  - 59
IS  - 3
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-021-x/
DO  - 10.4153/CMB-2016-021-x
ID  - 10_4153_CMB_2016_021_x
ER  - 
%0 Journal Article
%A Li, Boyu
%T Normal Extensions of Representations of Abelian Semigroups
%J Canadian mathematical bulletin
%D 2016
%P 564-574
%V 59
%N 3
%U http://geodesic.mathdoc.fr/articles/10.4153/CMB-2016-021-x/
%R 10.4153/CMB-2016-021-x
%F 10_4153_CMB_2016_021_x

Cité par Sources :