On Characteristic Function of a Contraction, Its Model and Function of Strauss

It is shown that Nagy-Foias characteristic function of a completely nonunitary contraction and a variant of its functional model can be presented by means of projection-valued analytic operator function, arising in the presentation theory of A.V.~Strauss.

Bibliographic Details
Main Author: Perch MelikAdamyan
Format: Article
Language:English
Published: Republic of Armenia National Academy of Sciences 2017-12-01
Series:Armenian Journal of Mathematics
Online Access:http://armjmath.sci.am/index.php/ajm/article/view/151
Description
Summary:It is shown that Nagy-Foias characteristic function of a completely nonunitary contraction and a variant of its functional model can be presented by means of projection-valued analytic operator function, arising in the presentation theory of A.V.~Strauss.
ISSN:1829-1163