Mustafayev, Heybetkulu2025-05-102025-05-1020161631-073X1778-356910.1016/j.crma.2016.04.0022-s2.0-84963706073https://doi.org/10.1016/j.crma.2016.04.002https://hdl.handle.net/20.500.14720/15297Let G be a locally compact amenable group, A (G) and B (G) be the Fourier and the Fourier-Stieltjes algebra of G, respectively. For a given u is an element of B (G), let epsilon(u):={g is an element of G : vertical bar u(g)vertical bar = 1}. The main result of this paper particularly states that if parallel to u parallel to(B(G)) <= 1 and <(u(epsilon(u)))over bar>is countable (in particular, if epsilon(u) is compact and scattered), then lim(n ->infinity) parallel to u(n)v parallel to(A(G)) = dist (v, I-epsilon u ),for all v is an element of A (G), where I-epsilon u = {v is an element of A (G) : v(g = 0, for all g is an element of epsilon(u) )}. (C) 2016 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.eninfo:eu-repo/semantics/openAccessArticle3546Q3Q3577582WOS:000377533000007