A maximum entropy principle in the general framework of the band method
type: Item
instance of: scholarly article
title: A maximum entropy principle in the general framework of the band method
zbMATH Open document ID: 0728.47013
DOI: 10.1016/0022-1236(91)90029-5
author: I. Gohberg
author: Marinus Kaashoek
author: Hugo J. Woerdeman
published in: Journal of Functional Analysis
publication date: 1991-01-01T00:00:00Z
review text: This paper is part of a series [J. Oper. Theory 22, No.1, 109-155 (1989; Zbl 0697.46022) and Integral Equations Oper. Theory 12, 343-382 (1989; Zbl 0676.46043)] where an axiomatic scheme for dealing with extension problems was developed under the name ``the band method''. The main result is a general maximum entropy principle which identifies the band extension as the unique positive extension for which the multiplicative diagonal is maximal. The method developed in this series seems to be powerful and to admit lots of applications, some of which are treated in this paper.
Mathematics Subject Classification ID: 47A68
Mathematics Subject Classification ID: 46K05
Mathematics Subject Classification ID: 47A56
zbMATH DE Number: 4203103
zbMATH Keywords: extension problems
zbMATH Keywords: band method
zbMATH Keywords: entropy principle
reviewed by: Gustavo Corach
MaRDI profile type: Publication
full work available at URL: 0022-1236(91)90029-5
OpenAlex ID: W2039997001
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cites work: The band method for positive and strictly contractive extension problems: An alternative version and new applications
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description: scientific article; zbMATH DE number 4203103