TY  - JOUR
ID  - myais1459
UR  - http://math.usm.my/bulletin/pdf/v30n2/v30n2p10.pdf
IS  - 2
A1  - Bracic, Janko,  
A1  - Moslehian, Mohammad Sal,  
Y1  - 2007///
N2  - 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.

PB  - Penerbit Universiti Sains Malaysia
JF  - Bulletin of the Malaysian Mathematical Sciences Society
VL  - 30
KW  - 3-homomorphism
KW  -  Homomorphism
KW  -  Continuity
KW  -  Banach algebra
KW  -  Bounded approximate identity
KW  -  Second dual
KW  -  Arens regularity
KW  -  C*-algebra.

SN  - 0126-6705
TI  - On Automatic Continuity of 3-Homomorphisms on Banach Algebras
SP  - 195
AV  - none
EP  - 200
ER  -