## Abstract and Applied Analysis

### Homomorphisms and Derivations in $C^*$-Algebras

#### 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 $f (z-x) + f(z-y) + (1/2) f(x+y) = 2f (z- (x+y)/4)$.

#### Article information

Source
Abstr. Appl. Anal., Volume 2007 (2007), Article ID 80630, 12 pages.

Dates
First available in Project Euclid: 5 July 2007

https://projecteuclid.org/euclid.aaa/1183666872

Digital Object Identifier
doi:10.1155/2007/80630

Mathematical Reviews number (MathSciNet)
MR2302193

Zentralblatt MATH identifier
1157.39017

#### Citation

Park, Choonkil; Najati, Abbas. Homomorphisms and Derivations in $C^*$ -Algebras. Abstr. Appl. Anal. 2007 (2007), Article ID 80630, 12 pages. doi:10.1155/2007/80630. https://projecteuclid.org/euclid.aaa/1183666872

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