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# Weak Amenability of a Class of Banach Algebras

We show that, if a Banach algebra $\A$ is a left ideal in its second dual algebra and has a left bounded approximate identity, then the weak amenability of $\A$ implies the ($2m+1$)-weak amenability of $\A$ for all $m\geq 1$.
 Keywords: $n$-weak amenability, left ideals, left bounded approximate identity