Title of article :
On Automatic Continuity of 3-Homomorphisms on Banach Algebras
Author/Authors :
Bracic, Janko Univ. of Ljubljana - Department of Mathematics, Slovenia , Sal Moslehian, Mohammad ferdowsi university of mashhad - Department of Mathematics, مشهد, ايران , Sal Moslehian, Mohammad ferdowsi university of mashhad - Centre of Excellence in Analysis on Algebraic Structures (CEAAS), مشهد, ايران , Sal Moslehian, Mohammad Banach Mathematical Research Group (BMRG), ايران
Abstract :
A linear map(varphi )A(rightarrow) B between (Banach) algebras is called 3- homomorphism if (varphi )(abc) = (varphi )(a)(varphi )(b)(varphi )(c) for each a, b, c Є¸ 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 *-algebras is norm decreasing.
Keywords :
3 , homomorphism , Homomorphism , Continuity , Banach algebra , Bounded approximate identity , Second dual , Arens regularity , C* , algebra.
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
Journal title :
Bulletin of the Malaysian Mathematical Sciences Society
