Nearly generalized Jordan derivations

M. Eshaghi Gordji; N. Ghobadipour

Nearly generalized Jordan derivations

Functional Analysis 2008-12-31 v1

Authors: M. Eshaghi Gordji , N. Ghobadipour

Abstract

Let $A$ be an algebra and let $X$ be an $A$ -bimodule. A $\Bbb C-$ linear mapping $d:A \to X$ is called a generalized Jordan derivation if there exists a Jordan derivation (in the usual sense) $\delta:A \to X$ such that $d(a^2)=ad(a)+\delta(a)a$ for all $a \in A.$ The main purpose of this paper to prove the Hyers-Ulam-Rassias stability and superstability of the generalized Jordan derivations.

Keywords

jordan algebra generalization theorems

Cite

@article{arxiv.0812.5016,
  title  = {Nearly generalized Jordan derivations},
  author = {M. Eshaghi Gordji and N. Ghobadipour},
  journal= {arXiv preprint arXiv:0812.5016},
  year   = {2008}
}

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