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The Isometric Extension Problem between Unit Spheres of Two Separable Banach Spaces 被引量:2

The Isometric Extension Problem between Unit Spheres of Two Separable Banach Spaces
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摘要 In this article,we use some analytic and geometric characters of the smooth points in a sphere to study the isometric extension problem in the separable or reflexive real Banach spaces.We obtain that under some condition the answer to this problem is affirmative. In this article,we use some analytic and geometric characters of the smooth points in a sphere to study the isometric extension problem in the separable or reflexive real Banach spaces.We obtain that under some condition the answer to this problem is affirmative.
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2015年第12期1872-1878,共7页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China(Grant No.11371201)
关键词 Isometric extension smooth point supporting functional set of first category set of second category residual subset Isometric extension smooth point supporting functional set of first category set of second category residual subset
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