GENERALIZED JENSENS EQUATIONS IN BANACH MODULES OVER A C∗-ALGEBRA AND ITS UNITARY GROUP

Abstract

We prove the generalized Hyers-Ulam-Rassias stability of general- ized Jensen’s equations in Banach modules over a unital C∗-algebra associ- ated with its unitary group. It is applied to show the stability of generalized Jensen’s equations in a Hilbert module over a unital C∗-algebra associated with its unitary group.