Self-adjoint operators associated with Hankel moment matrices

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Self-adjoint operators associated with Hankel moment matrices. / Berg, Christian; Szwarc, Ryszard.

I: Journal of Functional Analysis, Bind 283, Nr. 10, 109674, 2022, s. 1-29.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt

Harvard

Berg, C & Szwarc, R 2022, 'Self-adjoint operators associated with Hankel moment matrices', Journal of Functional Analysis, bind 283, nr. 10, 109674, s. 1-29. https://doi.org/10.1016/j.jfa.2022.109674

APA

Berg, C., & Szwarc, R. (2022). Self-adjoint operators associated with Hankel moment matrices. Journal of Functional Analysis, 283(10), 1-29. [109674]. https://doi.org/10.1016/j.jfa.2022.109674

Vancouver

Berg C, Szwarc R. Self-adjoint operators associated with Hankel moment matrices. Journal of Functional Analysis. 2022;283(10):1-29. 109674. https://doi.org/10.1016/j.jfa.2022.109674

Author

Berg, Christian ; Szwarc, Ryszard. / Self-adjoint operators associated with Hankel moment matrices. I: Journal of Functional Analysis. 2022 ; Bind 283, Nr. 10. s. 1-29.

Bibtex

@article{84b57ab5953e47faba2414ed689754a2,
title = "Self-adjoint operators associated with Hankel moment matrices",
abstract = "In a paper from 2016 D. R. Yafaev initiated a study of closable Hankel forms associated with the moments (mn) of a positive measure with infinite support on the real line. If mn=o(1) Yafaev characterized the closure of the form based on earlier work on quasi-Carleman operators. We give a new proof of the description of the closure based entirely on moment considerations. The main purpose of the present paper is a description of the self-adjoint Hankel operators associated with closed Hankel forms in the Hilbert space of square summable sequences. We do this not only in the case mn=o(1) studied by Yafaev but also in two other cases, where the Hankel form is closable, namely if the moment sequence is indeterminate or if the moment sequence is determinate with finite index of determinacy.",
keywords = "Hankel operators, Moment problems",
author = "Christian Berg and Ryszard Szwarc",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",
year = "2022",
doi = "10.1016/j.jfa.2022.109674",
language = "English",
volume = "283",
pages = "1--29",
journal = "Journal of Functional Analysis",
issn = "0022-1236",
publisher = "Academic Press",
number = "10",

}

RIS

TY - JOUR

T1 - Self-adjoint operators associated with Hankel moment matrices

AU - Berg, Christian

AU - Szwarc, Ryszard

N1 - Publisher Copyright: © 2022 Elsevier Inc.

PY - 2022

Y1 - 2022

N2 - In a paper from 2016 D. R. Yafaev initiated a study of closable Hankel forms associated with the moments (mn) of a positive measure with infinite support on the real line. If mn=o(1) Yafaev characterized the closure of the form based on earlier work on quasi-Carleman operators. We give a new proof of the description of the closure based entirely on moment considerations. The main purpose of the present paper is a description of the self-adjoint Hankel operators associated with closed Hankel forms in the Hilbert space of square summable sequences. We do this not only in the case mn=o(1) studied by Yafaev but also in two other cases, where the Hankel form is closable, namely if the moment sequence is indeterminate or if the moment sequence is determinate with finite index of determinacy.

AB - In a paper from 2016 D. R. Yafaev initiated a study of closable Hankel forms associated with the moments (mn) of a positive measure with infinite support on the real line. If mn=o(1) Yafaev characterized the closure of the form based on earlier work on quasi-Carleman operators. We give a new proof of the description of the closure based entirely on moment considerations. The main purpose of the present paper is a description of the self-adjoint Hankel operators associated with closed Hankel forms in the Hilbert space of square summable sequences. We do this not only in the case mn=o(1) studied by Yafaev but also in two other cases, where the Hankel form is closable, namely if the moment sequence is indeterminate or if the moment sequence is determinate with finite index of determinacy.

KW - Hankel operators

KW - Moment problems

UR - http://www.scopus.com/inward/record.url?scp=85135814797&partnerID=8YFLogxK

U2 - 10.1016/j.jfa.2022.109674

DO - 10.1016/j.jfa.2022.109674

M3 - Journal article

AN - SCOPUS:85135814797

VL - 283

SP - 1

EP - 29

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

SN - 0022-1236

IS - 10

M1 - 109674

ER -

ID: 317813027