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The isometric extension problem between unit spheres of two separable Banach spaces

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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.

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Authors and Affiliations

  1. School of Mathematical Sciences and LPMC, Nankai University, Tianjin, 300071, P. R. China

    Guang Gui Ding

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  1. Guang Gui Ding
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Correspondence to Guang Gui Ding.

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Supported by National Natural Science Foundation of China (Grant No. 11371201)

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Ding, G.G. The isometric extension problem between unit spheres of two separable Banach spaces. Acta. Math. Sin.-English Ser. 31, 1872–1878 (2015). https://doi.org/10.1007/s10114-015-4742-2

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  • DOI: https://doi.org/10.1007/s10114-015-4742-2

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