Unitary asymptotes of Hilbert space operators
In this survey article we are going to present the effectiveness of the use of unitary asymptotes in the study of Hilbert space operators.
In this survey article we are going to present the effectiveness of the use of unitary asymptotes in the study of Hilbert space operators.
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'.
The aim of this paper is to give a very brief account of some applications of the method of unitary extensions of isometries to interpolation and extension problems.