Homomorphisms and Derivations in <mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mrow><mml:msup><mml:mi>C</mml:mi><mml:mo>*</mml:mo></mml:msup></mml:mrow></mml:math>-Algebras

Park, Choonkil; Najati, Abbas

doi:https://doi.org/10.1155/2007/80630

Abstract and Applied Analysis

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Research Article | Open Access

Volume 2007 | Article ID 080630 | https://doi.org/10.1155/2007/80630

Homomorphisms and Derivations in C*-Algebras

Choonkil Park¹and Abbas Najati²

Academic Editor: Bruce D. Calvert

Received12 Feb 2007

Revised07 Mar 2007

Accepted12 Mar 2007

Published26 Apr 2007

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).

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Copyright

Copyright © 2007 Choonkil Park and Abbas Najati. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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