关于“线性空间中集合相对内部性质成立的条件”注记

Notes on Conditions Assuring Properties of the Relative Interior of Sets in a Linear Space

指出"线性空间中集合相对内部性质成立的条件"中的命题4是错误的,并以Banach空间和连续函数空间中的例子说明闭集的仿射包不一定是闭集。

This paper notices that the Proposition4 of the paper conditions assuring properties of the rela?tive interior of sets in a linear space is incorrect,and examples of Banach space and the continuous function space in this article illustrating that closed aggregate's affine hull is not necessarily a closed aggregate .