TY - JOUR
ID - 3099
TI - Homomorphism Weak amenability of certain Banach algebras
JO - International Journal of Nonlinear Analysis and Applications
JA - IJNAA
LA - en
SN -
AU - Sadeghi, Hamid
AU - Lashkarizadeh, Mahmmod
AD - Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran
Y1 - 2018
PY - 2018
VL - 9
IS - 1
SP - 235
EP - 245
KW - Banach algebra
KW - $varphi$-commutative
KW - $varphi$-derivation
KW - $varphi$-weakly amenability
DO - 10.22075/ijnaa.2018.1201.1276
N2 - In this paper we introduce the notion of $\varphi$-commutativity for a Banach algebra $A$, where $\varphi$ is a continuous homomorphism on $A$ and study the concept of $\varphi$-weak amenability for $\varphi$-commutative Banach algebras. We give an example to show that the class of $\varphi$-weakly amenable Banach algebras is larger than that of weakly amenable commutative Banach algebras. We characterize $\varphi$-weak amenability of $\varphi$-commutative Banach algebras and prove some hereditary properties. Moreover we verify some of the previous available results about commutative weakly amenable Banach algebras, for $\varphi$-commutative $\varphi$-weakly amenable Banach algebras.
UR - https://ijnaa.semnan.ac.ir/article_3099.html
L1 - https://ijnaa.semnan.ac.ir/article_3099_3c9686cd0612388fda1d7fbfe656ad40.pdf
ER -