@article {
author = {Barootkoob, Sedigheh},
title = {On $n$-weak biamenability of Banach algebras},
journal = {Wavelet and Linear Algebra},
volume = {8},
number = {1},
pages = {37-47},
year = {2021},
publisher = {Vali-e-Asr university of Rafsanjan},
issn = {2383-1936},
eissn = {2476-3926},
doi = {10.22072/wala.2020.135455.1300},
abstract = {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 $n$.},
keywords = {biderivation,inner biderivation,$n$-weak biamenability},
title_fa = {On $n$-weak biamenability of Banach algebras},
abstract_fa = {},
keywords_fa = {},
url = {http://wala.vru.ac.ir/article_245234.html},
eprint = {http://wala.vru.ac.ir/article_245234_cfbaa6fffcfebf86e5930fc538e10a5c.pdf}
}