When do Toeplitz and Hankel operators commute?
type: Item
instance of: scholarly article
title: When do Toeplitz and Hankel operators commute?
zbMATH Open document ID: 0961.47015
DOI: 10.1007/BF01194483
author: Rubén A. Martínez-Avendaño
published in: Integral Equations and Operator Theory
publication date: 2001-05-21T00:00:00Z
review text: The author shows that non-trivial Toeplitz (\(T_\psi\)) and Hankel (\(H_\varphi\)) operators commute if and only if the symbol \(\varphi\) of Hankel operator is \(z\psi (z)\), where \(\psi(z)=a\xi (z)+b\), \(a\neq 0\) and \(\xi (z)\) is the characteristic function of certain ``anti-symmetric'' sets of the unit circle.
Mathematics Subject Classification ID: 47B35
zbMATH DE Number: 1523221
zbMATH Keywords: Toeplitz operator
zbMATH Keywords: Hankel operator
zbMATH Keywords: symbol
reviewed by: N. Karapetiants
MaRDI profile type: Publication
cites work: Q5725935
cites work: On the Spectra of Toeplitz's Matrices
cites work: On bounded bilinear forms
cites work: Hankel Operators on Hilbert Space
cites work: Q3840231
full work available at URL: https://doi.org/10.1007/bf01194483
OpenAlex ID: W2350990751
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description: scientific article; zbMATH DE number 1523221