Unitary equivalence of operators and dilations

Chafiq Benhida

Studia Mathematica (2004)

  • Volume: 164, Issue: 3, page 253-255
  • ISSN: 0039-3223

Abstract

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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'.

How to cite

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Chafiq Benhida. "Unitary equivalence of operators and dilations." Studia Mathematica 164.3 (2004): 253-255. <http://eudml.org/doc/286090>.

@article{ChafiqBenhida2004,
abstract = {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'.},
author = {Chafiq Benhida},
journal = {Studia Mathematica},
keywords = {contraction; isometric dilation; finite rank operator; absolutely continuous unitary operator},
language = {eng},
number = {3},
pages = {253-255},
title = {Unitary equivalence of operators and dilations},
url = {http://eudml.org/doc/286090},
volume = {164},
year = {2004},
}

TY - JOUR
AU - Chafiq Benhida
TI - Unitary equivalence of operators and dilations
JO - Studia Mathematica
PY - 2004
VL - 164
IS - 3
SP - 253
EP - 255
AB - 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'.
LA - eng
KW - contraction; isometric dilation; finite rank operator; absolutely continuous unitary operator
UR - http://eudml.org/doc/286090
ER -

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