Linear functional equations in Banach modules over a \(C^*\)-algebra
This paper is a survey of recent results on the Ulam-Hyers-Rassias stability of linear functional equations in Banach modules over a \(C^*\)-algebra. The reader may find the results concerning the stability of the following equations: Cauchy functional equation, Jensen functional equation, Trif functional equation, cyclic functional equation and some applications. The methods applied are standard, mainly based on some ideas of Hyers and Rassias. The reader may find more information in the book of the reviewer [Functional equations and inequalities in several variables (World Scientific, Singapore) (2002; Zbl 1011.39019)].
scientific article; zbMATH DE number 1968883