A local lifting theorem for jointly subnormal families of unbounded operators
type: Item
instance of: scholarly article
title: A local lifting theorem for jointly subnormal families of unbounded operators
zbMATH Open document ID: 1225.47025
author: Witold Majdak
author: Jan Stochel
published in: Integral Equations and Operator Theory
publication date: 2011-03-14T00:00:00Z
review text: In this paper, the authors prove a local lifting theorem for bounded operators that intertwine a pair of jointly subnormal families of unbounded operators. This theorem generalizes an earlier local lifting theorem proved by \textit{Z. Sebestyén, J. E. Thomson} and the present authors [Proc. Am. Math. Soc. 134, No.~6, 1687--1699 (2006; Zbl 1115.47021)] for pairs of bounded subnormal operators.
reviewed by: Fuad Kittaneh
Mathematics Subject Classification ID: 47B20
Mathematics Subject Classification ID: 47A20
zbMATH DE Number: 5865288
zbMATH Keywords: jointly subnormal family of operators
zbMATH Keywords: minimal normal extension
zbMATH Keywords: lift of intertwining operators
zbMATH Keywords: commutant lifting theorem
MaRDI profile type: Publication
full work available at URL: s00020-010-1836-1
OpenAlex ID: W2089220978
cites work: Subnormal operators
cites work: Q4000087
cites work: Q4702980
cites work: Reflexive linear transformations
cites work: A local lifting theorem for subnormal operators
cites work: Spectral theory of operator-valued transformations
cites work: Analytic vectors
cites work: Algebras of subnormal operators
cites work: On Normal Operators in Hilbert Space
cites work: Lifting strong commutants of unbounded subnormal operators
cites work: Q4720264
cites work: Q3475865
cites work: On normal extensions of unbounded operators. III: Spectral properties
cites work: Q3477535
cites work: $
cites work: The complex moment problem and subnormality: A polar decomposition approach
cites work: Domination of unbounded operators and commutativity.
cites work: Some counterexamples in nonselfadjoint algebras
DOI: 10.1007/S00020-010-1836-1
description: scientific article; zbMATH DE number 5865288