Central intertwining lifting, maximum entropy and their permanence
type: Item
instance of: scholarly article
title: Central intertwining lifting, maximum entropy and their permanence
zbMATH Open document ID: 0812.47013
DOI: 10.1007/BF01192458
published in: Integral Equations and Operator Theory
publication date: 1994-07-12T00:00:00Z
review text: It is shown that the central intertwining solution in the commutant lifting theorem may be characterized by a maximum principle, which is also shown to be a natural analogue of maximum entropy principles appearing in the Carathéodory and Nehari interpolation problems. The authors' maximum principle is motivated by Robinson's minimum energy delay principle for outer functions. A related permanence principle, which is known to hold for the maximum entropy solution of the Carathéodory interpolation problem, is also established for the central intertwining lifting in the general context of the commutant lifting theorem. Applications of this new permanence property are given for the Nevanlinna-Pick and other interpolation problems.
reviewed by: Marinus Kaashoek
Mathematics Subject Classification ID: 47A57
Mathematics Subject Classification ID: 47A20
zbMATH DE Number: 604801
zbMATH Keywords: central intertwining solution in the commutant lifting theorem
zbMATH Keywords: maximum principle
zbMATH Keywords: maximum entropy principles
zbMATH Keywords: Carathéodory and Nehari interpolation problems
zbMATH Keywords: Robinson's minimum energy delay principle for outer functions
zbMATH Keywords: permanence property
zbMATH Keywords: Nevanlinna-Pick and other interpolation problems
author: Ciprian Foias
author: Arthur E. Frazho
author: I. Gohberg
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 604801