Stability of the Jensen-type functional equation in \(C^{\ast}\)-algebras: a fixed point approach
Summary: Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in \(C^{\ast }\)-algebras and Lie \(C^{\ast }\)-algebras and also of derivations on \(C^{\ast }\)-algebras and Lie \(C^{\ast }\)-algebras for the Jensen-type functional equation \(f((x+y)/2)+f((x - y)/2)=f(x)\).
scientific article; zbMATH DE number 5574417
scientific article