Closable Hankel Operators and Moment Problems

Research output: Contribution to journal › Journal article › Research › peer-review

Standard

Closable Hankel Operators and Moment Problems. / Berg, Christian; Szwarc, Ryszard.

In: Integral Equations and Operator Theory, Vol. 92, No. 1, 5, 2020.

Research output: Contribution to journal › Journal article › Research › peer-review

Harvard

Berg, C & Szwarc, R 2020, 'Closable Hankel Operators and Moment Problems', Integral Equations and Operator Theory, vol. 92, no. 1, 5. https://doi.org/10.1007/s00020-020-2561-z

APA

Berg, C., & Szwarc, R. (2020). Closable Hankel Operators and Moment Problems. Integral Equations and Operator Theory, 92(1), [5]. https://doi.org/10.1007/s00020-020-2561-z

Vancouver

Berg C, Szwarc R. Closable Hankel Operators and Moment Problems. Integral Equations and Operator Theory. 2020;92(1). 5. https://doi.org/10.1007/s00020-020-2561-z

Author

Berg, Christian ; Szwarc, Ryszard. / Closable Hankel Operators and Moment Problems. In: Integral Equations and Operator Theory. 2020 ; Vol. 92, No. 1.

Bibtex

@article{4468a0c9d88c4d1b80e08c3e491651d3,
title = "Closable Hankel Operators and Moment Problems",
abstract = "In a paper from 2016 D. R. Yafaev considers Hankel operators associated with Hamburger moment sequences qn and claims that the corresponding Hankel form is closable if and only if the moment sequence tends to 0. The claim is not correct, since we prove closability for any indeterminate moment sequence but also for certain determinate moment sequences corresponding to measures with finite index of determinacy. In an Erratum Yafaev (Integr Equ Oper Theory, to appear) has proved the result under quasi-analyticity assumptions, which imply that the moment sequence is determinate.",
keywords = "Closable operators, Hankel operators, Moment problems",
author = "Christian Berg and Ryszard Szwarc",
year = "2020",
doi = "10.1007/s00020-020-2561-z",
language = "English",
volume = "92",
journal = "Integral Equations and Operator Theory",
issn = "0378-620X",
publisher = "Springer Basel AG",
number = "1",

}

RIS

TY - JOUR

T1 - Closable Hankel Operators and Moment Problems

AU - Berg, Christian

AU - Szwarc, Ryszard

PY - 2020

Y1 - 2020

N2 - In a paper from 2016 D. R. Yafaev considers Hankel operators associated with Hamburger moment sequences qn and claims that the corresponding Hankel form is closable if and only if the moment sequence tends to 0. The claim is not correct, since we prove closability for any indeterminate moment sequence but also for certain determinate moment sequences corresponding to measures with finite index of determinacy. In an Erratum Yafaev (Integr Equ Oper Theory, to appear) has proved the result under quasi-analyticity assumptions, which imply that the moment sequence is determinate.

AB - In a paper from 2016 D. R. Yafaev considers Hankel operators associated with Hamburger moment sequences qn and claims that the corresponding Hankel form is closable if and only if the moment sequence tends to 0. The claim is not correct, since we prove closability for any indeterminate moment sequence but also for certain determinate moment sequences corresponding to measures with finite index of determinacy. In an Erratum Yafaev (Integr Equ Oper Theory, to appear) has proved the result under quasi-analyticity assumptions, which imply that the moment sequence is determinate.

KW - Closable operators

KW - Hankel operators

KW - Moment problems

UR - http://www.scopus.com/inward/record.url?scp=85078499765&partnerID=8YFLogxK

U2 - 10.1007/s00020-020-2561-z

DO - 10.1007/s00020-020-2561-z

M3 - Journal article

AN - SCOPUS:85078499765

VL - 92

JO - Integral Equations and Operator Theory

JF - Integral Equations and Operator Theory

SN - 0378-620X

IS - 1

M1 - 5

ER -

ID: 235466745