【摘要】 在距离线性空间成为赋范线性空间的基础上,导出了距离线性空间成为赋准范线性空间的条件是:距离d(x,y)还要满足平移不变性;距离线性空间成为赋拟范线性空间的条件是:此空间应为拟距离线性空间,且此拟距离还满足平移不变性及绝对齐性.更多还原

【Abstract】 On the basis of transformation from metric linear space to normed linear space, the transferable condition from metric linear space to Fnormed linear space is that the distance d(x,y) must satisfy translation invariance and that from metric linear space to seminormed linear space is that the space should be semimetric linear space and the quasimetric must satisfy translation invariance and absolute homogeneity.更多还原