The band method and generalized Carath�odory-Toeplitz interpolation at operator points

descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 1999 English Publisher:Springer Science and Business Media LLCJournal:Integral Equations and Operator Theory, volume 33, pages 175-210 (issn: 0378-620X, eissn: 1420-8989,

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Authors: Kaashoek, M.A.; Zeinstra, C.G.;

doi: 10.1007/bf01233963

handle: 1871/24573

The band method and generalized Carath�odory-Toeplitz interpolation at operator points

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Abstract

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.

Related Organizations

University of Twente
Netherlands
Vrije Universiteit Amsterdam
Netherlands

Keywords

band method, Carathéodory-Toeplitz interpolation problem, operator valued functions with operator arguments, extension problems of structured matrices, Moment problems and interpolation problems in the complex plane, Linear operator methods in interpolation, moment and extension problems

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