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arxiv: 0907.2862 · v1 · pith:62VZJTMZnew · submitted 2009-07-16 · 🧮 math.FA

On the stability of J^*-derivations

classification 🧮 math.FA
keywords derivationsstabilityfracalgebrasalternativeequationestablishfinally
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In this paper, we establish the stability and superstability of $J^*-$derivations in $J^*-$algebras for the generalized Jensen--type functional equation $$rf(\frac{x+y}{r})+rf(\frac{x-y}{r})= 2f(x).$$ Finally, we investigate the stability of $J^*-$derivations by using the fixed point alternative.

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