| 可数无限维概率乘积测度空间的Loeb空间 |
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| 引用本文： | 陈东立. 可数无限维概率乘积测度空间的Loeb空间[J]. 东北数学, 2003, 19(3): 249-253 |
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| 作者姓名： | 陈东立 |
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| 作者单位： | School of |
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| 基金项目： | The Special Science Foundation (00jk207) of the Educational Committee of Shaanxi Province. |
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| 摘 要： | Let {(Xi, Si, μi) : i ℃ N} be a sequence of probability measure spaces and (*Xi, L(*Si), L(*μi)) be the Loeb measure space with respect to (Xi, Si, μi) for i ℃ N. Let X =× Xi, S = ×Si,μ = ×μi. We prove that × L(*Si) CL(*S) and in embedding meaning.
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| 关 键 词： | Loeb空间 概率乘积测度空间 嵌入 内部集 σ代数 |
The Loeb Space of Denumerable Infinite Dimensional Probability Product Measure Spaces |
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| CHEN Dongli. The Loeb Space of Denumerable Infinite Dimensional Probability Product Measure Spaces[J]. Northeastern Mathematical Journal, 2003, 19(3): 249-253 |
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| Authors: | CHEN Dongli |
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| Abstract: | |
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| Keywords: | denumerable infinite dimensional product measure space Loeb measure space internal set external set |
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