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Weak Amenability of a Class of Banach Algebras

Published online by Cambridge University Press:  20 November 2018

Yong Zhang*
Department of Mathematics University of Manitoba Winnipeg, Manitoba R3T 2N2, email:
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We show that, if a Banach algebra $\mathfrak{A}$ is a left ideal in its second dual algebra and has a left bounded approximate identity, then the weak amenability of $\mathfrak{A}$ implies the $\left( 2m+1 \right)$-weak amenability of $\mathfrak{A}$ for all $m\,\ge \,1$.

Research Article
Copyright © Canadian Mathematical Society 2001


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