Contractive intertwining dilations of quasi-contractions
type: Item
instance of: scholarly article
title: Contractive intertwining dilations of quasi-contractions
zbMATH Open document ID: 0840.47004
DOI: 10.4171/ZAA/686
author: Aurelian Gheondea
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1996-03-17T00:00:00Z
review text: Summary: We prove that quasi-contractions in Kreĭn spaces always have contractive intertwining dilations. This result covers many of the known lifting of commutant theorems in both Hilbert and Kreĭn spaces. The approach is an adaptation of the angular operator method and uses the existence of invariant maximal non-negative subspaces for certain operators.
Mathematics Subject Classification ID: 47A20
Mathematics Subject Classification ID: 47B50
Mathematics Subject Classification ID: 47A15
zbMATH DE Number: 856804
zbMATH Keywords: \(W\)-spaces
zbMATH Keywords: quasi-contractions
zbMATH Keywords: angular operators
zbMATH Keywords: quasi-contractions in Kreĭn spaces
zbMATH Keywords: contractive intertwining dilations
zbMATH Keywords: lifting of commutant theorems
zbMATH Keywords: existence of invariant maximal non-negative subspaces
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.4171/zaa/686
OpenAlex ID: W2024079022
description: scientific article; zbMATH DE number 856804