| A Note on Linear Extension of Into-Isometries Between Two Unit Spheres of Atomic AL^p-Space （0 〈 p 〈∞） |
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| 作者姓名： | Guang Gui DING |
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| 作者单位： | School of Mathematics Science and LPMC, Nankai University, Tianjin 300071, P. R. China |
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| 基金项目： | This work is supported by The National Natural Science Foundation of China （Grant No. 10501090） and The Research Fund for the Doctoral Program of Higher Education （No. 20010055013） |
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| 摘 要： | In this paper, we shall present a short and simple proof on the isometric linear extension problem of into-isometries between two unit spheres of atomic abstract L^p-spaces （0 〈 p 〈 ∞）.
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| 关 键 词： | 等容积扩展 线性扩展 L^p空间 等距同构 |
| 收稿时间： | 2004-08-12 |
| 修稿时间： | 2004-08-122005-01-27 |
A Note on Linear Extension of Into–Isometries Between Two Unit Spheres of Atomic AL
p
–Space (0 < p < ∞) |
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| Guang Gui DING.A Note on Linear Extension of Into–Isometries Between Two Unit Spheres of Atomic AL
p
–Space (0 < p < ∞)[J].Acta Mathematica Sinica,2006,22(1):279-282. |
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| Authors: | Guang Gui Ding |
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| Institution: | (1) School of Mathematics Science and LPMC, Nankai University, Tianjin 300071, P. R. China |
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| Abstract: | In this paper, we shall present a short and simple proof on the isometric linear extension problem of into–isometries between
two unit spheres of atomic abstract L
p
–spaces (0 < p < ∞).
This work is supported by The National Natural Science Foundation of China (Grant No. 10501090) and The Research Fund for
the Doctoral Program of Higher Education (No. 20010055013) |
| |
| Keywords: | Isometric extension Atomic abstract L^p-space |
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