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arxiv: 0903.1168 · v1 · submitted 2009-03-06 · 🧮 math.FA

Stability of ternary Jordan homomorphisms and derivations associated to the generalized Jensen equation

classification 🧮 math.FA
keywords generalizedjordanderivationsequationhomomorphismsjensenstabilityternary
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In this paper, we establish the generalized Hyers-Ulam stability of Jordan homomorphisms and Jordan derivations between ternary algebras via the generalized Jensen equation $rf(\frac{sx+ty}{r})=sf(x)+tf(y)$.

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