ri(A+B)riA+B成立的条件

Conditions Assuring ri(A+B)riA+B

根据使得int(A+B)intA+B成立的已有结论,在集合相对代数内部和相对拓扑内部概念的基础上,分别给出了线性空间中(A+B)ri Ari+B和线性拓扑空间中ri(A+B)riA+B成立的条件,从而将cor(A+B)corA+B和int(A+B)intA+B关于内部的结论推广到了相对内部的情形。

Based on conditions assuring intA ＋ B = int（A ＋ B）, conditions assuring （A ＋ B）^ri blong to A^ri ＋ B in a linear space and conditions assuring ri（A ＋ B） blong to riA ＋ B in a linear topological space are given respectively. Therefore, such conclusions about interior as cor（ A ＋ B）blong to corA ＋ B and int（ A ＋ B ） blong to intA ＋ B are generalized to the situation of relative interior.