Truncated Toeplitz operators on the polydisk
type: Item
instance of: scholarly article
title: Truncated Toeplitz operators on the polydisk
zbMATH Open document ID: 0727.47012
DOI: 10.1007/BF01571274
published in: Monatshefte für Mathematik
publication date: 1990-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/178483
review text: The finite section method for Toeplitz operators consists in approximately solving the equation \(P(a\phi)=f\) by looking for a polynomial \(\phi_ n\) of degree n such that the first \(n+1\) Taylor coefficients of \(P(a\phi_ n)\) and f coincide. While the finite section method for Toeplitz operators on Hardy spaces has been studied thoroughly for a long time, analogous questions for Bergman space Toeplitz operators have not yet been considered. The present paper takes up the latter problem and contains a criterion for the applicability of the finite section method to Toeplitz operators with continuous matrix-valued symbols on the Bergman space of the polydisk.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 45L05
Mathematics Subject Classification ID: 46J15
Mathematics Subject Classification ID: 45H05
Mathematics Subject Classification ID: 65E05
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 4200977
zbMATH Keywords: finite section method for Toeplitz operators
zbMATH Keywords: Taylor coefficients
zbMATH Keywords: Toeplitz operators on Hardy spaces
zbMATH Keywords: Bergman space Toeplitz operators
zbMATH Keywords: Toeplitz operators with continuous matrix-valued symbols on the Bergman space of the polydisk
author: A. Böttcher
reviewed by: A. Böttcher
MaRDI profile type: Publication
cites work: Q3700325
cites work: Q4040771
cites work: Q3215836
cites work: On the C ∗ -Algebra of Toeplitz Operators on the Quarter-Plane
cites work: Q5651267
cites work: Algebras by multidimensional Toeplitz operators
cites work: Asymptotic behavior of block Toeplitz matrices and determinants. II
OpenAlex ID: W1982219507
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description: scientific article; zbMATH DE number 4200977