Korean Journal of Mathematics

The Kangwon-Kyungki Mathematical Society (강원경기수학회)
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HOMOMORPHISMS IN PROPER LIE CQ*-ALGEBRAS

  • Received : 2011.02.18
  • Accepted : 2011.03.15
  • Published : 2011.03.30
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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 $k$.

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References

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