Abstract and Applied Analysis

Approximately Ternary Homomorphisms and Derivations on ${C}^{{\ast} }$-Ternary Algebras

Abstract

We investigate the stability and superstability of ternary homomorphisms between ${C}^{\ast}$-ternary algebras and derivations on ${C}^{\ast}$-ternary algebras, associated with the following functional equation $f(({x}_{2}-{x}_{1})/3)+f(({x}_{1}-3{x}_{3})/3)+f((3{x}_{1}+3{x}_{3}-{x}_{2})/3)=f({x}_{1})$.

Article information

Source
Abstr. Appl. Anal., Volume 2012 (2012), Article ID 984160, 10 pages.

Dates
First available in Project Euclid: 14 December 2012

https://projecteuclid.org/euclid.aaa/1355495675

Digital Object Identifier
doi:10.1155/2012/984160

Mathematical Reviews number (MathSciNet)
MR2903811

Zentralblatt MATH identifier
1242.39031

Citation

Gordji, M. Eshaghi; Ebadian, A.; Ghobadipour, N.; Rassias, J. M.; Savadkouhi, M. B. Approximately Ternary Homomorphisms and Derivations on ${C}^{{\ast} }$ -Ternary Algebras. Abstr. Appl. Anal. 2012 (2012), Article ID 984160, 10 pages. doi:10.1155/2012/984160. https://projecteuclid.org/euclid.aaa/1355495675

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