A Schur type analysis of the minimal unitary Hilbert space extensions of a Kreĭn space isometry whose defect subspaces are Hilbert spaces
type: Item
instance of: scholarly article
title: A Schur type analysis of the minimal unitary Hilbert space extensions of a Kreĭn space isometry whose defect subspaces are Hilbert spaces
zbMATH Open document ID: 0807.47012
DOI: 10.4171/ZAA/513
published in: Zeitschrift für Analysis und ihre Anwendungen
publication date: 1995-03-05T00:00:00Z
review text: Summary: We consider a Kreĭn space isometry whose defect subspaces are Hilbert spaces and we show that its minimal unitary Hilbert space extensions are related to one-step isometric Hilbert space extensions and Schur parameters. These unitary extensions give rise to moments and scattering matrices defined on a scale subspace. By means of these notions we solve the labeling problem for the contractive intertwining liftings in the commutant lifting theorem for Kreĭn space contractions.
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 47A20
Mathematics Subject Classification ID: 47B50
zbMATH DE Number: 605108
zbMATH Keywords: Kreĭn space isometry
zbMATH Keywords: minimal unitary Hilbert space extensions
zbMATH Keywords: one- step isometric Hilbert space extensions
zbMATH Keywords: Schur parameters
zbMATH Keywords: moments
zbMATH Keywords: scattering matrices
zbMATH Keywords: commutant lifting theorem for Kreĭn space contractions
author: A. Dijksma
author: Stefania A. M. Marcantognini
author: H. S. V. de Snoo
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 605108