Closable Hankel Operators and Moment Problems

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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.

Original languageEnglish
Article number5
JournalIntegral Equations and Operator Theory
Volume92
Issue number1
ISSN0378-620X
DOIs
Publication statusPublished - 2020

    Research areas

  • Closable operators, Hankel operators, Moment problems

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