Stability of Homomorphisms and Derivations on C*-Ternary Rings Associated to an Euler-Lagrange Type Additive Mapping

作者：Moradlou Fridoun^*; Najati Abbas; Vaezi Hamid

来源：Results in Mathematics, 2009, 55(3-4): 469-486.

DOI：10.1007/s00025-009-0410-0

• C*-Ternary ring homomorphism
• C*-ternary derivation
• generalized Euler-Lagrange type additive mapping
• Hyers-Ulam-Rassias stability

Let X, Y be Banach spaces and let r(1), ..., r(n) is an element of R be given. We prove the Hyers-Ulam-Rassias stability of the following functional equation in Banach spaces:
Sigma(n)(j=1) f (-r(j)x(j) Sigma(1We show that if Sigma(n)(i=1) r(i) not equal n(2)-3n/2 and r(i), r(j) not equal 0 for some 1 <= i < j <= n and a mapping f : X --> Y satisfies the functional equation (0.1), then the mapping f : X --> Y is Cauchy additive. As an application, we investigate homomorphisms and derivations between C*-ternary rings.

• 出版日期2009-11