Isometric Extension Problem Between Strictly Convex Two-dimensional Normed Spaces  

作　　者：Guang Gui DING Jian Ze LI 

机构地区：[1]School of Mathematical Sciences and LPMC, Nankai University [2]Electrical and Computer Engineering, Ryerson University

出　　处：《Acta Mathematica Sinica,English Series》2019年第4期513-518,共6页数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(Grant No.11371201);supported by the National Natural Science Foundation of China(Grant No.11601371)

摘　　要：In this paper, based on the smooth point of the unit ball and its support linear functional,we show two equivalent formulations of the isometric extension problem between the unit spheres of strictly convex two-dimensional normed spaces. We prove that these equivalent formulations have a positive answer in a special case.In this paper, based on the smooth point of the unit ball and its support linear functional,we show two equivalent formulations of the isometric extension problem between the unit spheres of strictly convex two-dimensional normed spaces. We prove that these equivalent formulations have a positive answer in a special case.

关 键 词：ISOMETRIC extension STRICTLY CONVEX unit SPHERE SMOOTH point ADDITIVE map 

分 类 号：O1[理学—数学]