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On Stieltjes functions and Hankel operators

On Stieltjes functions and Hankel operators
On Stieltjes functions and Hankel operators

Let G be a Stieltjes function which is analytic in the open right half plane. It is shown that G is in H∞(RHP) if and only if the Hankel operator HG on H2(RHP) with symbol G is nuclear. If G is in H∞(RHP) it is shown that the non-tangential limit of G at s = 0 equals twice the nuclear norm of HG.

0167-6911
275-277
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36
Ober, Raimund J.
31f4d47f-fb49-44f5-8ff6-87fc4aff3d36

Ober, Raimund J. (1996) On Stieltjes functions and Hankel operators. Systems and Control Letters, 27 (5), 275-277. (doi:10.1016/0167-6911(95)00066-6).

Record type: Article

Abstract

Let G be a Stieltjes function which is analytic in the open right half plane. It is shown that G is in H∞(RHP) if and only if the Hankel operator HG on H2(RHP) with symbol G is nuclear. If G is in H∞(RHP) it is shown that the non-tangential limit of G at s = 0 equals twice the nuclear norm of HG.

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Published date: 13 May 1996

Identifiers

Local EPrints ID: 425011
URI: http://eprints.soton.ac.uk/id/eprint/425011
DOI: doi:10.1016/0167-6911(95)00066-6
ISSN: 0167-6911
PURE UUID: 8367b001-a5ee-48db-9976-d373504ec66d
ORCID for Raimund J. Ober: ORCID iD orcid.org/0000-0002-1290-7430

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Date deposited: 09 Oct 2018 16:30
Last modified: 06 Jun 2024 02:04

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Author: Raimund J. Ober ORCID iD

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