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A trick for investigation of approximate derivations. (English) Zbl 1196.39017
Summary: We utilize the notion of module extension to reduce the problem of stability of derivations to that of ring homomorphisms studied by R. Badora [J. Math. Anal. Appl. 276, No. 2, 589–597 (2002; Zbl 1014.39020)] in the context of Banach bimodules over Banach algebras.

MSC:
39B82 Stability, separation, extension, and related topics for functional equations
39B52 Functional equations for functions with more general domains and/or ranges
46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
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