Vali-e-Asr university of RafsanjanWavelet and Linear Algebra2383-19368120210701On $n$-weak biamenability of Banach algebrasOn $n$-weak biamenability of Banach algebras374724523410.22072/wala.2020.135455.1300ENSedighehBarootkoobDepartment of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box 1339, Bojnord, Iran.Journal Article20200825In this paper, the notion of $n$-weak biamenability of Banach algebras is introduced and for every $n\geq 3$, it is shown that $n$-weak biamenability of the second dual $A^{**}$ of a Banach algebra $A$ implies $n$-weak biamenability of $A$ and this is true for $n=1, 2$ under some mild conditions. As a concrete example, it is shown that for every abelian locally compact group $G$, $L^1(G)$ is $1$-weakly biamenable and $\ell^1(G)$ is $n$-weakly biamenable for every odd integer $n$.http://wala.vru.ac.ir/article_245234_cfbaa6fffcfebf86e5930fc538e10a5c.pdf