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

Choonkil Park; John Michael Rassias; Won-Gil Park

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

Mathematical Physics 2011-01-04 v1 math.MP

Authors: Choonkil Park , John Michael Rassias , Won-Gil Park

Abstract

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.

Keywords

$C^*$-ternary algebra Jordan derivation Cauchy-Jensen functional equation Hyers-Ulam stability

Cite

@article{arxiv.1101.0213,
  title  = {Jordan derivations on $C^*$-ternary algebras for a Cauchy-Jensen functional equation},
  author = {Choonkil Park and John Michael Rassias and Won-Gil Park},
  journal= {arXiv preprint arXiv:1101.0213},
  year   = {2011}
}

Comments

19 pages

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