Stability of the Cauchy-Jensen Functional Equation in C∗-Algebras: A Fixed Point Approach

Stability of the Cauchy-Jensen Functional Equation in C∗-Algebras: A Fixed Point Approach

we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following Cauchy-Jensen functional equation 2f((x+y)/2+z)=f(x)+f(y)+2f(z), which was introduced and investigated by Baak (2006). The concept of Hyers-Ulam-Rassias sta...

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Veröffentlicht in:Fixed point theory and applications (Hindawi Publishing Corporation) 2008-06, Vol.2008
Hauptverfasser: Jong Su An, Choonkil Park
Format: Artikel
Sprache:eng
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Zusammenfassung:we prove the Hyers-Ulam-Rassias stability of C∗-algebra homomorphisms and of generalized derivations on C∗-algebras for the following Cauchy-Jensen functional equation 2f((x+y)/2+z)=f(x)+f(y)+2f(z), which was introduced and investigated by Baak (2006). The concept of Hyers-Ulam-Rassias stability originated from the stability theorem of Th. M. Rassias that appeared in (1978).
ISSN:1687-1820
1687-1812
DOI:10.1155/2008/872190