Nearly generalized Jordan derivations

2008/12/30 by Gordji, M. Eshaghi, Ghobadipour, N.
#39B52 #39B82 #46H25 #FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.0812.5016

Abstract

Let A be an algebra and let X be an A-bimodule. A \Bbb C-linear mapping d:A → X is called a generalized Jordan derivation if there exists a Jordan derivation (in the usual sense) δ:A → X such that d(a²)=ad(a)+δ(a)a for all a ∈ A. The main purpose of this paper to prove the Hyers-Ulam-Rassias stability and superstability of the generalized Jordan derivations.

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