Construction of dilations
type: Item
instance of: scholarly article
title: Construction of dilations
zbMATH Open document ID: 0778.47007
author: Vlastimil Pták
published in: Expositiones Mathematicae
publication date: 1992-09-27T00:00:00Z
review text: Sz.-Nagy proved the existence for each contraction \(T\) of a unitary dilation \(U\) on a larger Hilbert space, i.e. \((T^ n h,h')=(U^ n h,h')\); \(h,h'\in{\mathcal H}\), \(n\geq 0\). The classical results of Sz.-Nagy are considered in the paper from the algebraic point of view. The interpretation of the Julia operator \[ J(T)=\begin{pmatrix} T &D(T^*)\\ d(T) &-T^*\end{pmatrix} \] is given.
Mathematics Subject Classification ID: 47A20
zbMATH DE Number: 62671
zbMATH Keywords: unitary dilation
zbMATH Keywords: Julia operator
reviewed by: Lev A. Sakhnovich
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 62671