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.
On the basis of transformation from metric linear space to normed linear space, the transferable condition from metric linear space to Fnormed 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 quasimetric must satisfy translation invariance and absolute homogeneity.
出处
《甘肃工业大学学报》
北大核心
2003年第3期137-138,共2页
Journal of Gansu University of Technology
