Computation of the resolvent matrix for the generalized bitangential Schur- and Carathéodory-Nevanlinna-Pick interpolation problems in the strictly completely indeterminate case
type: Item
instance of: scholarly article
title: Computation of the resolvent matrix for the generalized bitangential Schur- and Carathéodory-Nevanlinna-Pick interpolation problems in the strictly completely indeterminate case
zbMATH Open document ID: 0854.47009
DOI: 10.1007/BF01378775
published in: Integral Equations and Operator Theory
publication date: 1997-01-05T00:00:00Z
review text: This interesting paper is a continuation of several papers by the author concerned with the so-called Nevanlinna-Pick and Schur interpolation problems for matrix functions. In this case the author determines the algebraic formulas for the resolvent matrix of the strictly completely indeterminate case by a reduction to a Nehari problem. The reader is referred to the books [\textit{C. Foias} and \textit{A. E. Frazho}, ``The commutant lifting approach to interpolation problems'', Basel (1990; Zbl 0718.47010)] and [\textit{I. Gohberg} and \textit{L. A. Sakhnovich} (eds.), ``Matrix and operator valued functions'', Operator Theory: Adv. Appl. 72, Basel (1994; Zbl 0797.00015)] for more information on this type of problems.
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 30E05
zbMATH DE Number: 845907
zbMATH Keywords: Nevanlinna-Pick and Schur interpolation problems for matrix functions
zbMATH Keywords: strictly completely indeterminate case
zbMATH Keywords: Nehari problem
author: Damir Z. Arov
reviewed by: Gustavo Corach
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 845907