Title : On automatic continuity of 3-homomorphisms on Banach algebras ( On automatic continuity of 3-homomorphisms on Banach algebras )
Authors: J. Bracic , Mohammad Sal Moslehian ,
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Abstract
A linear map $\\phi:{\\mathcal A}\\to {\\mathcal B} $ between (Banach) algebras is called 3-homomorphism if $\\phi(abc)=\\phi(a)\\phi(b)\\phi(c)$ for each $a, b, c \\in {\\mathcal A}$. We investigate 3-homomorphisms on Banach algebras with bounded approximate identities and establish in two ways that every involution preserving homomorphism between $C^*$-algebras is norm decreasing
Keywords
, Mathematics - Functional Analysis, Mathematics - Operator Algebras, Primary 47B48, secondary 46L05, 16Wxx
@article{paperid:203810,
author = {J. Bracic and Sal Moslehian, Mohammad},
title = {On automatic continuity of 3-homomorphisms on Banach algebras},
journal = {Structural and Multidisciplinary Optimization},
year = {2007},
month = {March},
issn = {1615-147X},
keywords = {Mathematics - Functional Analysis; Mathematics - Operator Algebras; Primary 47B48; secondary 46L05; 16Wxx},
}
%0 Journal Article
%T On automatic continuity of 3-homomorphisms on Banach algebras
%A J. Bracic
%A Sal Moslehian, Mohammad
%J Structural and Multidisciplinary Optimization
%@ 1615-147X
%D 2007
