%A   Bracic, Janko
%A   Moslehian, Mohammad Sal
%J Bulletin of the Malaysian Mathematical Sciences Society
%T On Automatic Continuity of 3-Homomorphisms on Banach Algebras
%X A linear map $\varphi : \mathcal{A} \rightarrow \mathcal{B}$ 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-homomorphisms on Banach algebras with bounded approximate identities and establish in two ways (for unital and non-unital cases) that every involution preserving homomorphism between $C^\ast$-algebras is norm decreasing.

%N 2
%K 3-homomorphism, Homomorphism, Continuity, Banach algebra, Bounded approximate identity, Second dual, Arens regularity, C*-algebra.

%P 195-200
%V 30
%D 2007
%I Penerbit Universiti Sains Malaysia
%L myais1459