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 $q1/(2n)2n = o(n)$.
Pliki: