Unitary equivalence of operators and dilations
Tom 164 / 2004
Studia Mathematica 164 (2004), 253-255 MSC: 47A20, 47A55. DOI: 10.4064/sm164-3-4
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 $T'$.