Additive Functional Inequalities in Banach Modules
© Choonkil Park et al. 2008
Received: 1 April 2008
Accepted: 10 November 2008
Published: 16 November 2008
We investigate the following functional inequality in Banach modules over a -algebra and prove the generalized Hyers-Ulam stability of linear mappings in Banach modules over a -algebra in the spirit of the Th. M. Rassias stability approach. Moreover, these results are applied to investigate homomorphisms in complex Banach algebras and prove the generalized Hyers-Ulam stability of homomorphisms in complex Banach algebras.
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