Closable Hankel Operators and Moment Problems
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Closable Hankel Operators and Moment Problems. / Berg, Christian; Szwarc, Ryszard.
I: Integral Equations and Operator Theory, Bind 92, Nr. 1, 5, 2020.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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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