  We fix a gap in the proof of a result in our earlier paper "Generalised
notions of amenability, II" (J. Funct. Anal. 254 (2008) 1776-1810), and so
provide a new proof to a characterization of amenability for Beurling algebras.
The result answers a question raised by M. C. White (Bull. London. Math. Soc.
23 (1991) 375-380).
