In normed spaces the concepts such as non-kernel isometric maps and non-kernel 1-preserving maps are introduced,extending the concepts of isometric maps and 1-preserving maps.Basic properties about them,new connections between strong distance n-preserving maps and isometric maps,and in addition,two sufficient conditions for a map to be an isometric map,are obtained.
关键词
非核等距映射/非核保1映射/赋范向量空间/严格凸空间
Key words
non-kernel isometric map/non-kernel 1-preserving map/normed vector space/strictly convex space
维普
万方数据