Homomorphisms, amenability and weak amenability of Banach algebras

TL;DR

This paper investigates conditions under which Banach algebras are amenable or weakly amenable, utilizing homomorphisms to establish necessary and sufficient criteria.

Contribution

It introduces new criteria linking homomorphisms to amenability and weak amenability in Banach algebras, advancing theoretical understanding.

Findings

Established necessary and sufficient conditions for amenability.

Linked homomorphisms to weak amenability.

Provided theoretical framework for analyzing Banach algebras.

Abstract

In this paper we find some necessary and sufficient conditions for a Banach algebra to be amenable or weakly amenable, by applying the homomorphisms on Banach algebras.