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| Extension of isometries on the unit sphere of l~p (Γ) space | |
| 基金项目： | supported by Natural Science Foundation of the Education Departmentof Jiangsu Province (Grant No.09KJD110003) |
| 摘 要： | In this paper,we obtain that every isometry from the unit sphere S(l p (Γ)) of l p (Γ) (1 p ∞,p≠2) onto the unit sphere S(E) of a Banach space E can be extended to be a (real) linear isometry of l p (Γ) onto E,so,we give an affirmative answer to the corresponding Tingley's problem. |
| 关 键 词： | isometric extension l p （Γ） space isometry 1-Lipschitz mapping |
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