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We prove the generalized Hyers-Ulam-Rassias stability of partitioned 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 partitioned functional equations in Banach algebras. Mathematics subject classification (2000): 47J05, 39B82, 46L05.

Partitioned functional inequalities in banach modules and approximate algebra homomorphisms