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

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

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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
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spelling doaj-18d9941a1c4e49cd97a97d2b73e4f3de2020-11-24T23:44:08ZengRepublic of Armenia National Academy of SciencesArmenian Journal of Mathematics1829-11632017-12-0192On Characteristic Function of a Contraction, Its Model and Function of StraussPerch MelikAdamyan0Institute of Mechanics of NAS Armenia 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. http://armjmath.sci.am/index.php/ajm/article/view/151
collection DOAJ
language English
format Article
sources DOAJ
author Perch MelikAdamyan
spellingShingle Perch MelikAdamyan
On Characteristic Function of a Contraction, Its Model and Function of Strauss
Armenian Journal of Mathematics
author_facet Perch MelikAdamyan
author_sort Perch MelikAdamyan
title On Characteristic Function of a Contraction, Its Model and Function of Strauss
title_short On Characteristic Function of a Contraction, Its Model and Function of Strauss
title_full On Characteristic Function of a Contraction, Its Model and Function of Strauss
title_fullStr On Characteristic Function of a Contraction, Its Model and Function of Strauss
title_full_unstemmed On Characteristic Function of a Contraction, Its Model and Function of Strauss
title_sort on characteristic function of a contraction, its model and function of strauss
publisher Republic of Armenia National Academy of Sciences
series Armenian Journal of Mathematics
issn 1829-1163
publishDate 2017-12-01
description 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.
url http://armjmath.sci.am/index.php/ajm/article/view/151
work_keys_str_mv AT perchmelikadamyan oncharacteristicfunctionofacontractionitsmodelandfunctionofstrauss
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