%0 Journal Article
%T On $n$-weak biamenability of Banach algebras
%J Wavelet and Linear Algebra
%I Vali-e-Asr university of Rafsanjan
%Z 2383-1936
%A Barootkoob, Sedigheh
%D 2021
%\ 07/01/2021
%V 8
%N 1
%P 37-47
%! On $n$-weak biamenability of Banach algebras
%K biderivation
%K inner biderivation
%K $n$-weak biamenability
%R 10.22072/wala.2020.135455.1300
%X In 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 $n$.
%U http://wala.vru.ac.ir/article_245234_cfbaa6fffcfebf86e5930fc538e10a5c.pdf