A subgroup H of R is characterized if H=tau_R:={x in R: u_n x --> 0 mod Z} for some sequence u in R. Given two sequences u and v in R, we find conditions under which tau_u(R) is contained or not in tau_v(R). As a by-product of our main theorems, we find a known result by Elias on inclusions of characterized subgroups of T, motivated by problems in harmonic analysis.

Inclusions of characterized subgroups

BARBIERI, Giuseppina Gerarda;GIORDANO BRUNO, Anna
;
Hans Weber
2017-01-01

Abstract

A subgroup H of R is characterized if H=tau_R:={x in R: u_n x --> 0 mod Z} for some sequence u in R. Given two sequences u and v in R, we find conditions under which tau_u(R) is contained or not in tau_v(R). As a by-product of our main theorems, we find a known result by Elias on inclusions of characterized subgroups of T, motivated by problems in harmonic analysis.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11390/1095036
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