Open AccessSzegő-type limit theorems for “multiplicative Toeplitz” operators and non-Følner approximations
Author(s) -
Nikolaï Nikolski,
Alexander Pushnitski
Publication year - 2021
Publication title -
st. petersburg mathematical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.328
H-Index - 20
eISSN - 1547-7371
pISSN - 1061-0022
DOI - 10.1090/spmj/1683
Subject(s) - mathematics , multiplicative function , toeplitz matrix , type (biology) , limit (mathematics) , pure mathematics , discrete mathematics , algebra over a field , mathematical analysis , ecology , biology
An analog of the First Szegő Limit Theorem for multiplicative Toeplitz operators is discussed, with the emphasis on the role of the multliplicative Følner condition in this topic.