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ON STABILITY PROBLEMS WITH SHADOWING PROPERTY AND ITS APPLICATION
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 Title & Authors
ON STABILITY PROBLEMS WITH SHADOWING PROPERTY AND ITS APPLICATION
Chu, Hahng-Yun; Han, Gil-Jun; Kang, Dong-Seung;
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 Abstract
Let be an even integer. We investigate that if an odd mapping f : X Y satisfies the following equation then f : X Y is additive, where . We also prove the stability in normed group by using shadowing property and the Hyers-Ulam stability of the functional equation in Banach spaces and in Banach modules over unital C-algebras. As an application, we show that every almost linear bijection h : A B of unital -algebras A and B is a -algebra isomorphism when for all unitaries u A, all y A, and s = 0, 1, 2,....
 Keywords
shadowing property;Hyers-Ulam-Rassias stability;additive mapping;-algebra isomorphism;
 Language
English
 Cited by
 References
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