Isometric Extension Problem Between Strictly Convex Two-dimensional Normed Spaces

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英文篇名：Isometric Extension Problem Between Strictly Convex Two-dimensional Normed Spaces 作者：Guang ; Gui ; DING ; Jian ; Ze ; LI 英文作者：Guang Gui DING;Jian Ze LI;School of Mathematical Sciences and LPMC, Nankai University;Electrical and Computer Engineering, Ryerson University; 英文关键词：Isometric extension;;strictly convex;;unit sphere;;smooth point;;additive map 中文刊名：ACMS 英文刊名：数学学报(英文版) 机构：School of Mathematical Sciences and LPMC, Nankai University;Electrical and Computer Engineering, Ryerson University; 出版日期：2019-03-27 出版单位：Acta Mathematica Sinica 年：2019 期：v.35 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) 语种：英文; 页：ACMS201904005 页数：6 CN：04 ISSN：11-2039/O1 分类号：73-78

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.

引文

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