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On the stability of the linear mapping in Banach modules. (English) Zbl 1021.46037

Summary: We prove the generalized Hyers-Ulam-Rassias stability of the linear mapping in Banach modules over a unital Banach algebra.

MSC:

46H25 Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX)
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References:

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