Closable Hankel Operators and Moment Problems
Research output: Contribution to journal › Journal article › Research › peer-review
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 language | English |
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Article number | 5 |
Journal | Integral Equations and Operator Theory |
Volume | 92 |
Issue number | 1 |
ISSN | 0378-620X |
DOIs | |
Publication status | Published - 2020 |
- Closable operators, Hankel operators, Moment problems
Research areas
Links
- https://arxiv.org/pdf/1905.03010.pdf
Accepted author manuscript
ID: 235466745