# Article

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Keywords:
Banach algebra; $\Delta$-weak approximate identit; $\Delta$-weak character amenability
Summary:
In this paper we investigate $\Delta$-weak character amenability of certain Banach algebras such as projective tensor product $A\widehat{\otimes }B$ and Lau product $A\times _{\theta }B$, where $A$ and $B$ are two arbitrary Banach algebras and $\theta \in \Delta (B)$, the character space of $B$. We also investigate $\Delta$-weak character amenability of abstract Segal algebras and module extension Banach algebras.
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