Decompositions and asymptotic limit for bicontractions
type: Item
instance of: scholarly article
title: Decompositions and asymptotic limit for bicontractions
zbMATH Open document ID: 1266.47033
author: Marek Kosiek
author: Laurian Suciu
published in: Annales Polonici Mathematici
publication date: 2012-05-11T00:00:00Z
Mathematics Subject Classification ID: 47A99
Mathematics Subject Classification ID: 47B20
Mathematics Subject Classification ID: 47A15
zbMATH DE Number: 6033780
zbMATH Keywords: contraction
zbMATH Keywords: bicontraction
zbMATH Keywords: bi-isometry
zbMATH Keywords: Wold type decomposition
MaRDI profile type: Publication
full work available at URL: ap105-1-5
OpenAlex ID: W1973317634
DOI: 10.4064/AP105-1-5
review text: The asymptotic limit of a bicontraction \(T\) (that is, a pair of commuting contractions) on a Hilbert space \(\mathcal{H}\) is used to describe a Nagy-Foiaş-Langer type decomposition of \(T\). This decomposition is refined in the case when the asymptotic limit of \(T\) is an orthogonal projection. The case of a bicontraction \(T\) consisting of hyponormal (even quasinormal) contractions is also considered, where \(S_{T^*}=S_{T^*}^2\).
reviewed by: Bilender P. Allahverdiev
description: scientific article; zbMATH DE number 6033780