On Amalgamated Banach algebras

Hasan Pourmahmood Aghababa, Nematollah Shirmohammadi

Let $A$ and $B$ be Banach algebras, $\theta :A\to B$ be a continuous Banach algebra homomorphism and $I$ be a closed ideal in $B$. Then the direct sum of $A$ and $I$ with respect to $\theta$…