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Weak Amenability of a Class of Banach Algebras
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- Journal:
- Canadian Mathematical Bulletin / Volume 44 / Issue 4 / 01 December 2001
- Published online by Cambridge University Press:
- 20 November 2018, pp. 504-508
- Print publication:
- 01 December 2001
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- Article
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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 
$m\,\ge \,1$.
