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Title of Journal: Acta Math Sinica

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Abbravation: Acta Mathematica Sinica

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Springer-Verlag

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10.1007/bf01452748

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1439-7617

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Extension of Isometries Between the Unit Spheres

Authors: Xi Nian Fang Jian Hua Wang
Publish Date: 2006/03/24
Volume: 22, Issue: 6, Pages: 1819-1824
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Abstract

In this paper we study the extension of isometries between the unit spheres of normed space E and CΩ We obtain that any surjective isometry between the unit spheres of normed space E and CΩ can be extended to be a linear isometry on the whole space E and give an affirmative answer to the corresponding Tingley’s problem where Ω be a compact metric space


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