On the stability of J$^*-$derivations

Details On the stability of J$^*-$derivations On the stability of J$^*-$derivations

2009-07-16

arxiv.org/abs/0907.2862v1

Mathematics

Functional Analysis

Scientific paper

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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