Orthogonally Additive{Quadratic Hilbert C -Module Homomorphisms

In this paper, we nd the general solutions of a system of two functional equations de ned on a Hilbert C -module as additive{quadratic Hilbert C -modulehomomorphisms. We show that for any approximate orthogonally additive{quadratic Hilbert C -module homomorphism under a special control function, there exists a uniqueorthogonally additive{quadratic Hilbert C -module homomorphism near it.

کلیدواژه ها:

Hilbert C -module ، Homomorphism ، Approximate functional equations ، Cauchy functional equation ، Quadratic functional equation