Approximate linear derivations and functional inequalities with applications

作者：Kim Hark Mahn; Chang Ick Soon^*

来源：Applied Mathematics Letters, 2012, 25(5): 830-836.

DOI：10.1016/j.aml.2011.10.027

• Approximate linear derivations
• Continuity
• Additive mapping
• Stability
• Banach algebra

In this paper, we prove that any approximate linear derivation on a semisimple Banach algebra is continuous. We deal with the functional inequalities associated with additive mappings and some stability theorems are proved. Based on these facts, we obtain some results for the functional inequalities corresponding to the additive mappings and the equation f (xy) = xf (y) + f (x)y.

• 出版日期2012-5