Hyponormality of Toeplitz operators with generalized circulant symbols
type: Item
instance of: scholarly article
title: Hyponormality of Toeplitz operators with generalized circulant symbols
zbMATH Open document ID: 1154.47021
author: In Sung Hwang
author: In Hyoun Kim
published in: Journal of Mathematical Analysis and Applications
publication date: 2008-11-06T00:00:00Z
review text: Let \(\theta\) be a finite Blaschke product and let \(a \in H^2 \ominus (z\theta)H^2\). The paper under review contains a number of necessary and sufficient conditions, expressed in terms of the zeroes of a suitable polynomial depending on \(a\) and \(\theta\), for the hyponormality of the Toeplitz operator with generalized circulant symbol \(\varphi =\overline{za} +z \theta \overline{a}\).
reviewed by: Pedro J. Paúl
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47B20
zbMATH DE Number: 5362151
zbMATH Keywords: Toeplitz operator
zbMATH Keywords: hyponormality
MaRDI profile type: Publication
full work available at URL: j.jmaa.2008.08.011
OpenAlex ID: W2075931865
cites work: Subnormal Toeplitz operators and functions of bounded type
cites work: Hyponormality of Toeplitz Operators
cites work: Joint hyponormality of Toeplitz pairs
cites work: Hyponormality and spectra of Toeplitz operators
cites work: On hyponormal Toeplitz operators with polynomial and circulant-type symbols
cites work: Kernels of Hankel operators and hyponormality of Toeplitz operators
cites work: Q3416485
cites work: Hyponormality of Toeplitz operators with rational symbols
cites work: Hyponormal Toeplitz Operators and Extremal Problems of Hardy Spaces
cites work: Hyponormal Toeplitz operators with polynomial symbols
DOI: 10.1016/J.JMAA.2008.08.011
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description: scientific article; zbMATH DE number 5362151