科研之友
微信
新浪微博
Facebook
分享链接
摘要
The main aim of this note is to provide sufficient conditions for an additive function to be a real derivation. Among others the following implication will be verified: Assume that epsilon : R -> R is a given differentiable function and for the additive function d : R -> R, the mapping x bar right arrow d(xi(x)) - xi'(x)d(x) is regular (e. g. measurable, continuous, locally bounded). Then d is a sum of a derivation and a linear function.
- 出版日期2015-7
