%0 Journal Article
%T On a class of Banach algebras associated to harmonic analysis on locally compact groups and semigroups
%J Advances in Operator Theory
%I Tusi Mathematical Research Group (TMRG)
%Z 2538-225X
%A Lau, Anthony To-Ming
%A Pham, Hung Le
%D 2018
%\ 01/01/2018
%V 3
%N 1
%P 231-246
%! On a class of Banach algebras associated to harmonic analysis on locally compact groups and semigroups
%K Fourier algebra
%K locally compact group
%K Group Algebra
%K Fourier--Stieltjes algebra
%K $F$-algebra
%R 10.22034/aot.1702-1115
%X The purpose of this paper is to present some old and recent results for the class of $F$-algebras which include most classes of Banach algebras that are important in abstract harmonic analysis. We also introduce a subclass of the class of $F$-algebras, called normal $F$-algebras, that captures better the measure algebras and the (reduced) Fourier--Stieltjes algebras, and use this to give new characterisations the reduced Fourier--Stieltjes algebras of discrete groups.
%U http://www.aot-math.org/article_47586_4d00ddd2b10646cbc0d558bf63b4c156.pdf