Finite rank Hankel operators on the polydisk
type: Item
instance of: scholarly article
title: Finite rank Hankel operators on the polydisk
zbMATH Open document ID: 0947.47022
DOI: 10.1016/S0024-3795(98)10223-9
author: Caixing Gu
published in: Linear Algebra and its Applications
publication date: 1999-11-11T00:00:00Z
review text: This paper gives a new approach to S. C. Power's multivariable generalization [Linear Algebra Appl. 48, 237-244 (1982; Zbl 0513.15007)] of the classical Kronecker theorem characterizing the Hankel matrices of finite rank. The author shows how to compute the rank of a (small) Hankel operator on the Hardy space of the polydisc as a sum of ranks of Hankel operators in fewer variables but with matrix-valued symbols.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 32A35
Mathematics Subject Classification ID: 46J15
zbMATH DE Number: 1331349
zbMATH Keywords: Kronecker theorem
zbMATH Keywords: Hardy space
zbMATH Keywords: Power's multivariate generalization
zbMATH Keywords: Hankel matrices of finite rank
zbMATH Keywords: matrix-valued symbols
reviewed by: Harold P. Boas
MaRDI profile type: Publication
cites work: Hankel forms and the Fock space
cites work: A Kronecker Theorem for Higher Order Hankel Forms
cites work: Finite rank multivariable Hankel forms
cites work: Finite rank intermediate Hankel operators
cites work: Q4858514
description: scientific article; zbMATH DE number 1331349