Multi-analytic operators on Fock spaces
type: Item
instance of: scholarly article
title: Multi-analytic operators on Fock spaces
zbMATH Open document ID: 0835.47015
DOI: 10.1007/BF01460977
author: Gelu Popescu
published in: Mathematische Annalen
publication date: 1996-02-01T00:00:00Z
full work available at URL: https://eudml.org/doc/165355
review text: This paper deals with multi-analytic operators on Fock spaces and extends many of the classical results for analytic operators to our noncommutative setting. Thus, we give a characterization of these operators in terms of their symbols as well as an inner-outer factorization of them. A noncommutative analog for the Szegö infimum theory, the Fejér-Riesz theorem for Toeplitz operators and other extremal properties are obtained. Using the generalized commutant lifting theorem we obtain a Corona-type theorem and the Carathéodory interpolation theorem on Fock spaces.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47A68
Mathematics Subject Classification ID: 47A57
zbMATH DE Number: 840172
zbMATH Keywords: multi-analytic operators on Fock spaces
zbMATH Keywords: inner-outer factorization
zbMATH Keywords: noncommutative analog for the Szegö infimum theory
zbMATH Keywords: Fejér-Riesz theorem for Toeplitz operators
zbMATH Keywords: extremal properties
zbMATH Keywords: commutant lifting theorem
zbMATH Keywords: Corona-type theorem
zbMATH Keywords: Carathéodory interpolation theorem on Fock spaces
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 840172