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Zbl 1218.46050
Eshaghi Gordji, Madjid
Nearly ring homomorphisms and nearly ring derivations on non-Archimedean Banach algebras. (English)
[J] Abstr. Appl. Anal. 2010, Article ID 393247, 12 p. (2010). ISSN 1085-3375; ISSN 1687-0409/e

Summary: We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. Moreover, we prove the superstability of homomorphisms on unital non-Archimedean Banach algebras and we investigate the superstability of derivations in non-Archimedean Banach algebras with bounded approximate identity.
MSC 2000:
*46S10 Functional analysis over fields (not R, C, or quaternions)
39B82 Stability, separation, extension, and related topics

Keywords: generalized Hyers-Ulam stability; non-Archimedean Banach algebras

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