@article {
author = {Sadeghi, Hamid and Lashkarizadeh, Mahmmod},
title = {Homomorphism Weak amenability of certain Banach algebras},
journal = {International Journal of Nonlinear Analysis and Applications},
volume = {9},
number = {1},
pages = {235-245},
year = {2018},
publisher = {Semnan University},
issn = {2008-6822},
eissn = {2008-6822},
doi = {10.22075/ijnaa.2018.1201.1276},
abstract = {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.},
keywords = {Banach algebra,$varphi$-commutative,$varphi$-derivation,$varphi$-weakly amenability},
url = {https://ijnaa.semnan.ac.ir/article_3099.html},
eprint = {https://ijnaa.semnan.ac.ir/article_3099_3c9686cd0612388fda1d7fbfe656ad40.pdf}
}