Korean J. Math. Vol. 19 No. 1 (2011) pp.33-52
DOI: https://doi.org/10.11568/kjm.2011.19.1.033

FUNCTIONAL EQUATIONS IN BANACH MODULES AND APPROXIMATE ALGEBRA HOMOMORPHISMS IN BANACH ALGEBRAS

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Published: Mar 30, 2011

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Deok-Hoon Boo
Hassan Azadi Kenary
Choonkil Park

Abstract

We prove the Hyers-Ulam stability of partitioned functional equations in Banach modules over a unital C*-algebra. It is applied to show the stability of algebra homomorphisms in Banach algebras associated with partitioned functional equations in Banach algebras.



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