On Wold-type decomposition
type: Item
instance of: scholarly article
title: On Wold-type decomposition
zbMATH Open document ID: 1254.47021
author: Patryk Pagacz
published in: Linear Algebra and its Applications
publication date: 2012-05-14T00:00:00Z
review text: A new necessary and sufficient condition for a Hilbert space contraction to have \(C_{.0}\) completely nonunitary (cnu) part (in the sense of Sz.-Nagy and Foiaş) is given. This result is used to show that the cnu part of several generalizations of hyponormal contractions is of class \(C_{.0}\).
Mathematics Subject Classification ID: 47B20
Mathematics Subject Classification ID: 47A45
zbMATH DE Number: 6034436
zbMATH Keywords: \((p,k)\)-quasihyponormal operators
zbMATH Keywords: \(k\)-paranormal operators
zbMATH Keywords: \(*\)-paranormal operators
zbMATH Keywords: \(C_{.0}\)-contraction
zbMATH Keywords: Fuglede-Putnam theorem
reviewed by: Michal Zajac
MaRDI profile type: Publication
full work available at URL: j.laa.2011.09.001
OpenAlex ID: W2034139225
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DOI: 10.1016/J.LAA.2011.09.001
description: scientific article; zbMATH DE number 6034436