GENERALIZED JENSEN'S FUNCTIONAL EQUATIONS AND APPROXIMATE ALGEBRA HOMOMORPHISMS

Jae-Hyeong Bae, Won-Gil Park
2002 Bulletin of the Korean Mathematical Society  
We prove the generalized Hyers-Ulam-Rassias stability of generalized Jensen's functional equations in Banach modules over a unital C * -algebra. It is applied to show the stability of algebra homomorphisms between Banach algebras associated with generalized Jensen's functional equations in Banach algebras.
doi:10.4134/bkms.2002.39.3.401 fatcat:7wdhqjfwsbh6xlrrscwtzt3bv4