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Quadratic Derivations on non-Archimedean Banach Algebras
Park, C.,Shagholi, S.,Javadian, A.,Savadkouhi, M.B.,Gordji, M.E. Eudoxus Press LLC 2014 Journal of computational analysis and applications Vol.16 No.3
Let A be an algebra and X be an A-module. A quadratic mapping D : A X is called a quadratic derivation ifD(ab) = D(a)b(2) + a(2) D(b)for all a(1), a(2) is an element of A. We investigate the Hyers-Ulam stability of quadratic derivations from a non-Archimedean Banach algebra A into a non-Archimedean Banach A-module.