title: On Automatic Continuity of 3-Homomorphisms on Banach Algebras
creator: Bracic, Janko,  
creator: Moslehian, Mohammad Sal,  
subject: Q Science, Computer Science
description: 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.

publisher: Penerbit Universiti Sains Malaysia
date: 2007
type: Journal
type: PeerReviewed
relation: http://math.usm.my/bulletin/pdf/v30n2/v30n2p10.pdf
identifier: Bracic, Janko, and Moslehian, Mohammad Sal, (2007) On Automatic Continuity of 3-Homomorphisms on Banach Algebras. Bulletin of the Malaysian Mathematical Sciences Society, 30 (2). pp. 195-200. ISSN 0126-6705
relation: http://myais.fsktm.um.edu.my/1459/