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Bull. Korean Math. Soc. 2002; 39(3): 401-410
Printed September 1, 2002
Copyright © The Korean Mathematical Society.
Generalized Jensen's functional equations and approximate algebra homomorphisms
Jae-Hyeong Bae and Won-Gil Park
Chungnam National University, Chungnam National University
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.
Keywords: stability, Jensen's functional equation, Banach module over $C^*$-algebra, approximate algebra homomorphism
MSC numbers: 39B82, 46L05, 47B48
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