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# Weak Amenability of a Class of Banach Algebras

Published:2001-12-01
Printed: Dec 2001
• Yong Zhang
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## Abstract

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
 MSC Classifications: 46H20 - Structure, classification of topological algebras 46H10 - Ideals and subalgebras 46H25 - Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)