Properties of Non-kernel Isometry Maps and Non-kernel Strong n-preserving Maps
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.
non-kernel isometric mapnon-kernel 1-preserving mapnormed vector spacestrictly convex space