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The isometric extension problem between unit spheres of two separable Banach spaces |
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| Authors: | Guang Gui Ding |
| Affiliation: | School of Mathematical Sciences and LPMC, Nankai University, Tianjin 300071, P. R. China |
| Abstract: | 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. |
| Keywords: | Isometric extension smooth point supporting functional set of first category set of second category residual subset |
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