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Published on 10 May 2019

Isometric extension problem on two-dimensional strictly convex Banach spaces

1.For any two points in the normed space, there exist two points that form an equilateral triangle with them;


2.In a strictly convex normed space, these two points are unique;


3.On the unit sphere of a two-dimensional strictly convex normed space, the equidistant operator is additive;


4. There are sufficient and necessary conditions for the existence of equidistant extension problems in two-dimensional strictly convex normed spaces;


5. Further explore the ideas behind this issue