Block matrix operators and weak hyponormalities
type: Item
instance of: scholarly article
title: Block matrix operators and weak hyponormalities
zbMATH Open document ID: 1197.47036
author: Il Bong Jung
author: Mi Ryeong Lee
author: George R. Exner
published in: Integral Equations and Operator Theory
publication date: 2010-01-13T00:00:00Z
review text: The authors introduce a new model of a block matrix operator \(M(\alpha,\beta)\) induced by two sequences \(\alpha\) and \(\beta\) and characterize its \(p\)-hyponormality. The model is viewed as arising from the composition operator \(C_T\) on \(\ell^2_+:=L^2(\mathbb N_0)\) induced by a measurable transformation \(T\) on the set of nonnegative integers \(\mathbb N_0\) with point mass measure. The authors use composition operator techniques to characterize the \(p\)-hyponormality of \(M(\alpha,\beta)\) and apply their results to obtain examples of these operators showing that the \(p\)-hyponormal classes are distinct. This paper will be useful for the bridge theory of Hilbert space operators.
reviewed by: Woo Young Lee
Mathematics Subject Classification ID: 47B20
Mathematics Subject Classification ID: 47B33
zbMATH DE Number: 5656962
zbMATH Keywords: p-hyponormal operators
zbMATH Keywords: composition operators
zbMATH Keywords: conditional expectation
MaRDI profile type: Publication
full work available at URL: s00020-009-1727-5
OpenAlex ID: W2085903655
DOI: 10.1007/S00020-009-1727-5
description: scientific article; zbMATH DE number 5656962