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On functional inequalities originating from module Jordan left derivations. (English) Zbl 1146.39043

Summary: We first examine the generalized Hyers-Ulam stability of a functional inequality associated with the module Jordan left derivation (resp., module Jordan derivation). Secondly, we study the functional inequality with the linear Jordan left derivation (resp., linear Jordan derivation) mapping into the Jacobson radical.

MSC:

39B82 Stability, separation, extension, and related topics for functional equations
16W25 Derivations, actions of Lie algebras
39B62 Functional inequalities, including subadditivity, convexity, etc.
39B52 Functional equations for functions with more general domains and/or ranges
47B47 Commutators, derivations, elementary operators, etc.
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References:

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