m−WEAK AMENABILITY OF (2n)−TH DUALS OF BANACH ALGEBRAS

Abstract

Let A be a Banach algebra such that its (2n)−th dual for some(n ≥ 1) with first Arens product is m−weakly amenable for some (m > 2n).We introduce some conditions by which if m is odd [even], then A is weakly [2-weakly] amenable.