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A note on a system theoretic approach to a conjecture by Peller-Khrushchev

A note on a system theoretic approach to a conjecture by Peller-Khrushchev
A note on a system theoretic approach to a conjecture by Peller-Khrushchev

Based on the construction of infinite dimensional balanced realizations an alternative solution to the following inverse spectral problem is presented: Given a monotonically decreasing sequence of positive numbers (σn)n ≥ 1, does there exist a Hankel operator whose sequence of singular values is (σn)n ≥ 1?

Balanced realizations, Hankel operator, Infinite dimensional systems, Moduli of operators, Singular values
0167-6911
303-306
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36

Ober, Raimund J. (1987) A note on a system theoretic approach to a conjecture by Peller-Khrushchev. Systems & Control Letters, 8 (4), 303-306. (doi:10.1016/0167-6911(87)90095-8).

Record type: Article

Abstract

Based on the construction of infinite dimensional balanced realizations an alternative solution to the following inverse spectral problem is presented: Given a monotonically decreasing sequence of positive numbers (σn)n ≥ 1, does there exist a Hankel operator whose sequence of singular values is (σn)n ≥ 1?

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More information

Published date: March 1987
Keywords: Balanced realizations, Hankel operator, Infinite dimensional systems, Moduli of operators, Singular values

Identifiers

Local EPrints ID: 424991
URI: https://eprints.soton.ac.uk/id/eprint/424991
ISSN: 0167-6911
PURE UUID: 9180b71f-5992-47ee-b6cd-f92ac573c379
ORCID for Raimund J. Ober: ORCID iD orcid.org/0000-0002-1290-7430

Catalogue record

Date deposited: 09 Oct 2018 16:30
Last modified: 10 Oct 2018 00:20

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