Block Toeplitz operators with frequency-modulated semi-almost periodic symbols
type: Item
instance of: scholarly article
title: Block Toeplitz operators with frequency-modulated semi-almost periodic symbols
zbMATH Open document ID: 1036.47014
DOI: 10.1155/S0161171203107107
published in: International Journal of Mathematics and Mathematical Sciences
publication date: 2003-06-18T00:00:00Z
full work available at URL: https://eudml.org/doc/50737
review text: Let \(b\in L^\infty_{n\times n} (\mathbb{R})\) be in one of the classes of oscillating \(n\times n\) matrix functions (periodic, almost-periodic or semi-almost periodic ) and \(T_{b(x)}\) be a Toeplitz operator in the Hardy space \(H^2_n (\mathbb{R})\). The authors give conditions on an orientation-preserving homomorphism \(\alpha:\mathbb{R}\to \mathbb{R}\) so that the Toeplitz operator \(T_{b[\alpha(x)]}\) is \(\Phi_\pm\), Fredholm or normal solvable if \(T_{b(x)}\) is also of the the same kind.
reviewed by: N. Karapetiants
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 42A75
Mathematics Subject Classification ID: 46J15
Mathematics Subject Classification ID: 47A53
Mathematics Subject Classification ID: 47A68
Mathematics Subject Classification ID: 47B33
zbMATH DE Number: 1930098
zbMATH Keywords: block Toeplitz operator
zbMATH Keywords: semi-almost periodic symbols
zbMATH Keywords: Fredholmness
zbMATH Keywords: normal solvability
author: A. Böttcher
author: S. M. Grudsky
author: Ilya M. Spitkovsky
MaRDI profile type: Publication
OpenAlex ID: W2052246812
description: scientific article; zbMATH DE number 1930098