Closable Hankel forms and moment problems

Seminarium: 
Dyskretna analiza harmoniczna i niekomutatywna probabilistyka
Osoba referująca: 
Ryszard Szwarc (Uniwersytet Wrocławski)
Data: 
czwartek, 17. Październik 2019 - 10:15
Sala: 
602
Opis: 
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. It is also established that Yafaev’s result holds if the moments satisfy $q1/(2n)2n = o(n)$.
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