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Zbl 1196.39017
Gordji, Madjid Eshaghi; Moslehian, Mohammad Sal
A trick for investigation of approximate derivations. (English)
[J] Math. Commun. 15, No. 1, 99-105 (2010). ISSN 1331-0623

Summary: We utilize the notion of module extension to reduce the problem of stability of derivations to that of ring homomorphisms studied by {\it R. Badora} [J. Math. Anal. Appl. 276, No. 2, 589--597 (2002; Zbl 1014.39020)] in the context of Banach bimodules over Banach algebras.
[Claudi Alsina (Barcelona)]

MSC 2000:: *39B82 Stability, separation, extension, and related topics
39B52 Functional equations for functions with more general domains
46H25 Topological modules

Keywords: Hyers-Ulam stability; derivations

Citations: Zbl 1014.39020

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