Geodesic
Unitary equivalence of operators and dilations
Chafiq Benhida1
1 UFR de Mathématiques, CNRS-UMR 8524, Bât. M2 Université des Sciences et Technologies de Lille F-59655 Villeneuve d'Ascq Cedex, France
Studia Mathematica, Tome 164 (2004) no. 3, pp. 253-255

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Given two contractions $T$ and $T'$ such that $T'-T$ is an operator of finite rank, we prove, under some conditions, the unitary equivalence of the unitary parts of the minimal isometric dilations (respectively minimal co-isometric extensions) of $T$ and $T'$.
DOI : 10.4064/sm164-3-4
Keywords: given contractions t t operator finite rank prove under conditions unitary equivalence unitary parts minimal isometric dilations respectively minimal co isometric extensions nbsp

Chafiq Benhida 1

1 UFR de Mathématiques, CNRS-UMR 8524, Bât. M2 Université des Sciences et Technologies de Lille F-59655 Villeneuve d'Ascq Cedex, France 
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Chafiq Benhida. Unitary equivalence of operators and dilations. Studia Mathematica, Tome 164 (2004) no. 3, pp. 253-255. doi: 10.4064/sm164-3-4

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