Homomorphisms and Derivations in C * -Algebras



Abstract and Applied Analysis

Homomorphisms and Derivations in $C^*$-Algebras

Choonkil Park and Abbas Najati

Source: Abstr. Appl. Anal. Volume 2007 (2007), 12 pages.

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 $J C^*$-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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Links and Identifiers

Permanent link to this document: http://projecteuclid.org/euclid.aaa/1183666872
Digital Object Identifier: doi:10.1155/2007/80630


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