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'.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-3-4,
author = {Chafiq Benhida},
title = {Unitary equivalence of operators and dilations},
journal = {Studia Mathematica},
volume = {162},
year = {2004},
pages = {253-255},
zbl = {1066.47006},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-3-4}
}
Chafiq Benhida. Unitary equivalence of operators and dilations. Studia Mathematica, Tome 162 (2004) pp. 253-255. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm164-3-4/