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http://dx.doi.org/10.11568/kjm.2011.19.1.087

HOMOMORPHISMS IN PROPER LIE CQ*-ALGEBRAS  

Lee, Jung Rye (Department of Mathematics Daejin University)
Shin, Dong Yun (Department of Mathematics University of Seoul)
Publication Information
Korean Journal of Mathematics / v.19, no.1, 2011 , pp. 87-99 More about this Journal
Abstract
Using the Hyers-Ulam-Rassias stability method of functional equations, we investigate homomorphisms in proper $CQ^*$-algebras and proper Lie $CQ^*$-algebras, and derivations on proper $CQ^*$-algebras and proper Lie $CQ^*$-algebras associated with the following functional equation $$\frac{1}{k}f(kx+ky+kz)=f(x)+f(y)+f(z)$$ for a fixed positive integer $k$.
Keywords
additive functional equation; proper $CQ^*$-algebra homomorphism; proper Lie $CQ^*$-algebra homomorphism; derivation; Lie derivation;
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