| 离散度量空间的相对性质A |
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| 引用本文： | 李玉芳,董浙,王媛怡.离散度量空间的相对性质A[J].数学研究及应用,2019,39(1):51-60. |
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| 作者姓名： | 李玉芳 董浙 王媛怡 |
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| 作者单位： | 浙江大学数学科学学院, 浙江 杭州 310058; 贵州大学数学与统计学院, 贵州 贵阳 550025,浙江大学数学科学学院, 浙江 杭州 310058,宁波大学科学技术学院信息工程学院, 浙江 宁波 315211 |
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| 基金项目： | 国家青年自然科学基金(Grant No.11701301). |
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| 摘 要： | Yu introduced Property A on discrete metric spaces. In this paper, a relative Property A for a discrete metric space X with respect to a set Y and a map ρ_(X,Y) is defined. Some characterizations for relative Property A are given. In particular, a discrete metric space with relative Property A can be coarse embedding into a Hilbert space under certain condition.
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| 关 键 词： | 相对性质A 粗嵌入 mazur映射 |
| 收稿时间： | 2018/5/1 0:00:00 |
| 修稿时间： | 2018/8/12 0:00:00 |
Relative Property A for Discrete Metric Space |
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| Yufang LI,Zhe DONG and Yuanyi WANG.Relative Property A for Discrete Metric Space[J].Journal of Mathematical Research with Applications,2019,39(1):51-60. |
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| Authors: | Yufang LI Zhe DONG and Yuanyi WANG |
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| Abstract: | Yu introduced Property A on discrete metric spaces. In this paper, a relative Property A for a discrete metric space $X$ with respect to a set $Y$ and a map $\rho_{X,Y}$ is defined. Some characterizations for relative Property A are given. In particular, a discrete metric space with relative Property A can be coarse embedding into a Hilbert space under certain condition. |
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| Keywords: | relative Property A coarse embedding mazur map |
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