On Automatic Continuity of 3-Homomorphisms on Banach Algebras

Janko Bracic, Mohammad Sal Moslehian

A linear map $\varphi :\mathcal{A}\to \mathcal{B}$ between (Banach) algebras is called 3-homomorphism if $\varphi (abc)=\varphi (a)\varphi (b)\varphi (c)$ for each $a,b,c\in \mathcal{A}$. We investigate 3-hom…