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Unitary asymptotes of Hilbert space operators

László Kérchy (1994)

Banach Center Publications

In this survey article we are going to present the effectiveness of the use of unitary asymptotes in the study of Hilbert space operators.

Unitary equivalence of operators and dilations

Chafiq Benhida (2004)

Studia Mathematica

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'.

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