JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS; APR 2014, 16, 3, p565-p570
Abstract
Let A be an algebra and X be an A-module. A quadratic mapping D : A X is called a quadratic derivation if D(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.