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Eshaghi Gordji, Madjid

Nearly ring homomorphisms and nearly ring derivations on non-Archimedean Banach algebras. (English) Zbl 1218.46050

Abstr. Appl. Anal. 2010, Article ID 393247, 12 p. (2010).
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.

Cited in 20 Documents

MSC:

46S10 Functional analysis over fields other than \(\mathbb{R}\) or \(\mathbb{C}\) or the quaternions; non-Archimedean functional analysis
39B82 Stability, separation, extension, and related topics for functional equations

Keywords:

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

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