Generalized Jensen's functional equations and approximate algebra homomorphisms
Bull. Korean Math. Soc. 2002 Vol. 39, No. 3, 401-410 Printed September 1, 2002
Jae-Hyeong Bae and Won-Gil Park Chungnam National University, Chungnam National University
Abstract : 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.