$\Delta $-weak character amenability of certain Banach algebras

Hamid Sadeghi

Address: Department of Mathematics, Faculty of Science, Fereydan Branch, Islamic Azad University, Isfahan, Iran

E-mail:
h.sadeghi9762@gmail.com
h.sadeghi@iaufr.ac.ir

Abstract: 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.

AMSclassification: primary 46H25; secondary 46M10.

Keywords: Banach algebra, \Delta -weak approximate identit, \Delta -weak character amenability.

DOI: 10.5817/AM2019-4-239