A note on cyclic amenability of the lau product of banach algebras defined by a banach algebra morphism

Abstract

Let be a Banach algebra homomorphism from a Banach algebra to a Banach algebra with . Recently, Bhatt and Dabhi ['Arens regularity and amenability of Lau product of Banach algebras defined by a Banach algebra morphism', Bull. Aust. Math. Soc. 87 (2013), 195-206] showed that cyclic amenability of is stable with respect to , for the case where is commutative. In this note, we address a gap in the proof of this stability result and extend it to an arbitrary Banach algebra . © 2015 Australian Mathematical Publishing Association Inc.