A characterization of \(k\)-hyponormality via weak subnormality.
type: Item
instance of: scholarly article
title: A characterization of \(k\)-hyponormality via weak subnormality.
zbMATH Open document ID: 1036.47011
DOI: 10.1016/S0022-247X(03)00034-9
author: Il Bong Jung
author: Raúl E. Curto
author: Sang Soo Park
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-05-25T00:00:00Z
review text: In this paper, the authors investigate the relation between \(k\)-hyponormal operators and weakly subnormal operators. The main results are as follows. Firstly, every 2-hyponormal operator is weakly subnormal. Secondly, an operator \(T\) is \((k+1)\)-hyponormal if and only if \(T\) is weakly subnormal and the minimal partially normal extension of \(T\) is \(k\)-hyponormal. As an application, they also present a matricial representation of the minimal normal extension of a subnormal operator as a block staircase matrix.
Mathematics Subject Classification ID: 47B20
zbMATH DE Number: 1915770
zbMATH Keywords: weak subnormality
zbMATH Keywords: \(k\)-hyponormality
zbMATH Keywords: minimal normal extensions of subnormal operators
reviewed by: Wang Gongbao
MaRDI profile type: Publication
cites work: Towards a model theory for 2-hyponormal operators.
cites work: Q3198385
cites work: Which weighted shifts are subnormal
cites work: Linear combinations of hyponormal operators
cites work: Subnormal operators
cites work: Weak subnormality of operators
cites work: Q4000087
description: scientific article; zbMATH DE number 1915770