Beurling algebras and uniform norms
Volume 160 / 2004
Studia Mathematica 160 (2004), 179-183
MSC: 43A20, 46J05.
DOI: 10.4064/sm160-2-5
Abstract
Given a locally compact abelian group $G$ with a measurable weight $\omega $, it is shown that the Beurling algebra $L^{1}(G, \omega ) $ admits either exactly one uniform norm or infinitely many uniform norms, and that $L^{1}(G, \omega ) $ admits exactly one uniform norm iff it admits a minimum uniform norm.
