The inverse spectral problem for selfadjoint Hankel operators
type: Item
instance of: scholarly article
title: The inverse spectral problem for selfadjoint Hankel operators
zbMATH Open document ID: 0865.47015
DOI: 10.1007/BF02392468
author: Vladimir V. Peller
author: A. Megretski
author: Sergei Treil
published in: Acta Mathematica
publication date: 1997-07-14T00:00:00Z
review text: A characterization of selfadjoint operators that are unitarily equivalent to a Hankel operator is obtained. This problem is closely connected with the theory of a stationary processes and the theory of linear dynamical systems with one-dimensional input and one-dimensional output. The connection between the considered problem and the balanced realization is described.
Mathematics Subject Classification ID: 47B35
Mathematics Subject Classification ID: 47B25
zbMATH DE Number: 811808
zbMATH Keywords: spectral multiplicities
zbMATH Keywords: selfadjoint operators
zbMATH Keywords: unitarily equivalent to a Hankel operator
zbMATH Keywords: stationary processes
zbMATH Keywords: linear dynamical system
zbMATH Keywords: one-dimensional input
zbMATH Keywords: one-dimensional output
zbMATH Keywords: balanced realization
reviewed by: Lev A. Sakhnovich
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02392468
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description: scientific article; zbMATH DE number 811808