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Generalized Jordan Homomorphisms in Frechet Algebras
Gordji, M.E.,Savadkouhi, M.B.,Park, C.,Lee, J.R. Eudoxus Press LLC 2014 Journal of computational analysis and applications Vol.16 No.2
A linear mapping h : A -> B is called a generalized Jordan homomorphism if there exists a homomorphism h' : A -> B such that h(a(2)) = h(a)'h(a) for all a is an element of A.In this paper, we investigate generalized Jordan homomorphisms in Frechet algebras, associated with the following functional equationf(a+b)/2 + f(a-b)/2 = f (a).Moreover, we prove the Hyers-Ulam stability of generalized Jordan homomorphisms in Prechet algebras.
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.