NOTE ON CYCLIC AMENABILITY OF THE LAU PRODUCT OF BANACH ALGEBRAS DEFINED BY A BANACH ALGEBRA MORPHISM

摘要

Let T be a Banach algebra homomorphism from a Banach algebra B to a Banach algebra A with parallel to T parallel to <= 1. 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 A x(T) B is stable with respect to T, for the case where A is commutative. In this note, we address a gap in the proof of this stability result and extend it to an arbitrary Banach algebra A