The band method and generalized Carathéodory-Toeplitz interpolation at operator points
type: Item
instance of: scholarly article
title: The band method and generalized Carathéodory-Toeplitz interpolation at operator points
zbMATH Open document ID: 0929.47006
DOI: 10.1007/BF01233963
author: C. G. Zeinstra
author: Marinus Kaashoek
published in: Integral Equations and Operator Theory
publication date: 2000-01-25T00:00:00Z
review text: In recent time many interpolation problems in function theory were related to extension problems of structured matrices, see \textit{H. Dym} and \textit{I. Gohberg} [J. Anal. Math. 42, 51-97 (1983; Zbl 0561.47041)] and \textit{J. A. Ball}, \textit{I. Gohberg} and \textit{M. A. Kaashoek} [Integral Equations Oper. Theory 27, 253-284 (1997; Zbl 0898.47008)]. The paper under review contains a generalization of the band method which solves as an application a Carathéodory-Toeplitz interpolation problem for operator valued functions with operator arguments.
reviewed by: Mihai Putinar
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 30E05
zbMATH DE Number: 1271373
zbMATH Keywords: band method
zbMATH Keywords: extension problems of structured matrices
zbMATH Keywords: Carathéodory-Toeplitz interpolation problem
zbMATH Keywords: operator valued functions with operator arguments
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01233963
OpenAlex ID: W2050193337
description: scientific article; zbMATH DE number 1271373