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Homomorphisms and Derivations in C*‐Algebras

Author

Listed:
  • Choonkil Park
  • Abbas Najati

Abstract

Using the Hyers‐Ulam‐Rassias stability method of functional equations, we investigate homomorphisms in C*‐algebras, Lie C*‐algebras, and JC*‐algebras, and derivations on C*‐algebras, Lie C*‐algebras, and JC*‐algebras associated with the following Apollonius‐type additive functional equation f(z − x) + f(z − y) + (1/2)f(x + y) = 2f(z − (x + y)/4).

Suggested Citation

  • Choonkil Park & Abbas Najati, 2007. "Homomorphisms and Derivations in C*‐Algebras," Abstract and Applied Analysis, John Wiley & Sons, vol. 2007(1).
    • Handle: RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:080630
    DOI: 10.1155/2007/80630
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    References listed on IDEAS

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    1. Zbigniew Gajda, 1991. "On stability of additive mappings," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 14, pages 1-4, January.
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