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Weighted model spaces and Schmidt subspaces of Hankel operators

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Weighted model spaces and Schmidt subspaces of Hankel operators. / Gérard, Patrick; Pushnitski, Alexander.

In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, Vol. 101, No. 1, 25.02.2020, p. 271-298.

Research output: Contribution to journalArticle

Harvard

Gérard, P & Pushnitski, A 2020, 'Weighted model spaces and Schmidt subspaces of Hankel operators', JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, vol. 101, no. 1, pp. 271-298. https://doi.org/10.1112/jlms.12270

APA

Gérard, P., & Pushnitski, A. (2020). Weighted model spaces and Schmidt subspaces of Hankel operators. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES, 101(1), 271-298. https://doi.org/10.1112/jlms.12270

Vancouver

Gérard P, Pushnitski A. Weighted model spaces and Schmidt subspaces of Hankel operators. JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. 2020 Feb 25;101(1):271-298. https://doi.org/10.1112/jlms.12270

Author

Gérard, Patrick ; Pushnitski, Alexander. / Weighted model spaces and Schmidt subspaces of Hankel operators. In: JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES. 2020 ; Vol. 101, No. 1. pp. 271-298.

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@article{dc47d2a34ce042bb88c40657d7a68efc,
title = "Weighted model spaces and Schmidt subspaces of Hankel operators",
abstract = "For a bounded Hankel matrix (Formula presented.), we describe the structure of the Schmidt subspaces of (Formula presented.), namely the eigenspaces of (Formula presented.) corresponding to non-zero eigenvalues. We prove that these subspaces are in correspondence with weighted model spaces in the Hardy space on the unit circle. Here we use the term {\textquoteleft}weighted model space{\textquoteright} to describe the range of an isometric multiplier acting on a model space. Further, we obtain similar results for Hankel operators acting in the Hardy space on the real line. Finally, we give a streamlined proof of the Adamyan–Arov–Krein theorem using the language of weighted model spaces.",
keywords = "30H10 (primary), 47B35",
author = "Patrick G{\'e}rard and Alexander Pushnitski",
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day = "25",
doi = "10.1112/jlms.12270",
language = "English",
volume = "101",
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journal = "JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES",
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publisher = "Oxford University Press",
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RIS (suitable for import to EndNote) Download

TY - JOUR

T1 - Weighted model spaces and Schmidt subspaces of Hankel operators

AU - Gérard, Patrick

AU - Pushnitski, Alexander

PY - 2020/2/25

Y1 - 2020/2/25

N2 - For a bounded Hankel matrix (Formula presented.), we describe the structure of the Schmidt subspaces of (Formula presented.), namely the eigenspaces of (Formula presented.) corresponding to non-zero eigenvalues. We prove that these subspaces are in correspondence with weighted model spaces in the Hardy space on the unit circle. Here we use the term ‘weighted model space’ to describe the range of an isometric multiplier acting on a model space. Further, we obtain similar results for Hankel operators acting in the Hardy space on the real line. Finally, we give a streamlined proof of the Adamyan–Arov–Krein theorem using the language of weighted model spaces.

AB - For a bounded Hankel matrix (Formula presented.), we describe the structure of the Schmidt subspaces of (Formula presented.), namely the eigenspaces of (Formula presented.) corresponding to non-zero eigenvalues. We prove that these subspaces are in correspondence with weighted model spaces in the Hardy space on the unit circle. Here we use the term ‘weighted model space’ to describe the range of an isometric multiplier acting on a model space. Further, we obtain similar results for Hankel operators acting in the Hardy space on the real line. Finally, we give a streamlined proof of the Adamyan–Arov–Krein theorem using the language of weighted model spaces.

KW - 30H10 (primary)

KW - 47B35

UR - http://www.scopus.com/inward/record.url?scp=85070687904&partnerID=8YFLogxK

U2 - 10.1112/jlms.12270

DO - 10.1112/jlms.12270

M3 - Article

VL - 101

SP - 271

EP - 298

JO - JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

JF - JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES

SN - 0024-6107

IS - 1

ER -

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