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
303-306
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
March 1987
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 and Control Letters, 8 (4), .
(doi:10.1016/0167-6911(87)90095-8).
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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Published date: March 1987
Keywords:
Balanced realizations, Hankel operator, Infinite dimensional systems, Moduli of operators, Singular values
Identifiers
Local EPrints ID: 424991
URI: http://eprints.soton.ac.uk/id/eprint/424991
ISSN: 0167-6911
PURE UUID: 9180b71f-5992-47ee-b6cd-f92ac573c379
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Date deposited: 09 Oct 2018 16:30
Last modified: 16 Mar 2024 04:37
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