TY - JOUR
ID - 245234
TI - On $n$-weak biamenability of Banach algebras
JO - Wavelet and Linear Algebra
JA - WALA
LA - en
SN - 2383-1936
AU - Barootkoob, Sedigheh
AD - Department of Mathematics, Faculty of Basic Sciences, University of Bojnord, P.O. Box 1339, Bojnord, Iran.
Y1 - 2021
PY - 2021
VL - 8
IS - 1
SP - 37
EP - 47
KW - biderivation
KW - inner biderivation
KW - $n$-weak biamenability
DO - 10.22072/wala.2020.135455.1300
N2 - 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 $n$.
UR - http://wala.vru.ac.ir/article_245234.html
L1 - http://wala.vru.ac.ir/article_245234_cfbaa6fffcfebf86e5930fc538e10a5c.pdf
ER -