| Lp(T,Σ,μ)(p≥1)型空间单位球面间的等距的表现和延拓 |
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| 引用本文： | 侯志彬,许会峰.Lp(T,Σ,μ)(p≥1)型空间单位球面间的等距的表现和延拓[J].南开大学学报,2006(6). |
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| 作者姓名： | 侯志彬 许会峰 |
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| 作者单位： | 南开大学数学科学学院 天津300071(侯志彬)，保定师范专科学校数学与计算机系 河北保定071000(许会峰) |
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| 基金项目： | 国家自然科学基金;高等学校博士学科点专项科研项目 |
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| 摘 要： | 给出了Lp型空间单位球面间的满等距表现定理,推广了关于lp型空间的相应定理.作为简单推论证明了相关的等距延拓定理.
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| 关 键 词： | 等距映射 严格凸 测度空间 重排算子 |
The Isometric Representation and Extension of the Mapping between the Unit Spheres of Lp (T,Σ,μ) (p ≥ 1) Type Spaces |
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| Hou Zhibin,Xu Huifeng.The Isometric Representation and Extension of the Mapping between the Unit Spheres of Lp (T,Σ,μ) (p ≥ 1) Type Spaces[J].Acta Scientiarum Naturalium University Nankaiensis,2006(6). |
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| Authors: | Hou Zhibin Xu Huifeng |
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| Abstract: | The representation theorem of the onto isometric operator between the unit spheres of the L~p type spaces is given,which is the extension of the corresponding result with respect to the l~p type spaces.It is also shown that the corresponding isometric extension theorem is an easy consequence. |
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| Keywords: | Isometric mapping strictly convex measure space rearrangement operator |
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