Homomorphisms and Derivations in C * -Algebras

Choonkil Park and Abbas Najati

Abstract and Applied Analysis, 2007, vol. 2007, 1-12

Abstract:

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

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:080630

DOI: 10.1155/2007/80630

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