Central intertwining lifting, suboptimization, and interpolation in several variables
type: Item
instance of: scholarly article
title: Central intertwining lifting, suboptimization, and interpolation in several variables
zbMATH Open document ID: 1013.46061
author: Gelu Popescu
published in: Journal of Functional Analysis
publication date: 2003-07-13T00:00:00Z
review text: This paper deals with the noncommutative analytic Toeplitz algebra \(F_n^\infty\) which can be viewed as a multivariable noncommutative analogue of the Hardy space \(H^\infty\). The main result is a Kaftal-Larson-Weiss type suboptimization theorem for the \(H^\infty\) and \(H^2\) norms. In order to obtain this result, the author provides first an explicit central intertwining lifting theorem for row contractions. The paper contains also some interesting related results.
Mathematics Subject Classification ID: 46L89
Mathematics Subject Classification ID: 47A57
zbMATH DE Number: 1747018
zbMATH Keywords: suboptimisation theorem
zbMATH Keywords: central intertwining lifting theorem for row contractions
zbMATH Keywords: interpolation in several variables
zbMATH Keywords: noncommutative analog of Hardy space \(H^\infty\)
zbMATH Keywords: noncommutative analytic Toeplitz algebra
reviewed by: Khristo N. Boyadzhiev
MaRDI profile type: Publication
full work available at URL: jfan.2001.3861
OpenAlex ID: W2064582719
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DOI: 10.1006/JFAN.2001.3861
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description: scientific article; zbMATH DE number 1747018