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Approximate linear derivations and functional inequalities with applications. (English) Zbl 1252.39029
The authors consider approximate derivations and prove the interesting result that any approximate linear derivation on a semisimple Banach algebra is continuous (it is known that any linear derivation on a semisimple Banach algebra is continuous).
Also some results concerning the stability of special functional equations are presented.

##### MSC:
 39B62 Functional inequalities, including subadditivity, convexity, etc. 39B82 Stability, separation, extension, and related topics for functional equations 46L57 Derivations, dissipations and positive semigroups in $$C^*$$-algebras
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