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arXiv · 1007.1649

Lifting derivations and $n-$weak amenability of the second dual of a Banach algebra

S. Barootkoob·H. R. Ebrahimi Vishki
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Abstract

We show that for $n\geq 2$ the $n-$weak amenability of the second dual $\A^{**}$ of a Banach algebra $\A$ implies that of $\A$. We also provide a positive answer for the case $n=1,$ which sharpens some older results. Our method of proof also provides a unified approach to give short proofs for some known results in the case where $n=1$.

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S. Barootkoob, H. R. Ebrahimi Vishki. 2010-08-14. Lifting derivations and $n-$weak amenability of the second dual of a Banach algebra. https://arxiv.org/abs/1007.1649

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