Jordan derivations on $C^*$-ternary algebras for a Cauchy-Jensen functional equation

Details Jordan derivations on $C^*$-ternary algebras for a Cauchy-Jensen functional equation Jordan derivations on $C^*$-ternary algebras for a Cauchy-Jensen functional equation

2010-12-31

arxiv.org/abs/1101.0213v1

Physics

Mathematical Physics

19 pages

Scientific paper

In this paper, we proved the generalized Hyers-Ulam stability of
homomorphisms in $C^*$- ternary algebras and of derivations on $C^*$-ternary
algebras for the following Cauchy- Jensen functional equation
$$3f\bigg(\frac{x+y+z}{3}\bigg)=2f\bigg(\frac{x+y}{2}\bigg)+f(z).$$ These were
applied to investigate isomorphisms between $C^*$-ternary algebras.

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