| 关于 Markov 算子弱混和性质的一个注记 |
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| 引用本文： | 王焱平,喻建华,鲍晓云. 关于 Markov 算子弱混和性质的一个注记[J]. 南昌大学学报(理科版), 2007, 31(1): 25-28 |
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| 作者姓名： | 王焱平 喻建华 鲍晓云 |
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| 作者单位： | 上海电力学院,信息与计算科学系,上海,200090;东华理工学院,基础部,江西,南昌,330013;九江学院,理学系,江西,九江,332005 |
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| 基金项目： | 上海市高等学校青年基金 |
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| 摘 要： | 设P是L∞(X,∑,m)上的Markov算子,Q是任一具有有限不变测度并且遍历的 Markov 算子,在这篇注记中我们给出了P的混和性和 Cartesian 积P×Q的遍历性相互等价这一结果的直接而简单的证明.
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| 关 键 词： | Markov算子 遍历性 混和性 |
| 文章编号： | 1006-0464（2007）01-0025-04 |
| 收稿时间： | 2006-01-15 |
| 修稿时间： | 2006-01-15 |
A Note on the Weak Mixing Property of Mapkov Operpators |
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| WANG Yan-ping,YU Jian-hua,BAO Xiao-yun. A Note on the Weak Mixing Property of Mapkov Operpators[J]. Journal of Nanchang University(Natural Science), 2007, 31(1): 25-28 |
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| Authors: | WANG Yan-ping YU Jian-hua BAO Xiao-yun |
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| Affiliation: | 1. Department of Mathematics, Shanghai University of Electric Power, Shanghai 200090, China; 2. Basic Subject Department, East China Institute of Technology, Nanchang 330013, China; 3. Department of Science, Jiujiang College, Jiangxi Jiujiang 332005, China |
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| Abstract: | Let P be a Markov operator in,and Q any ergodic Markov operator possessing finite invariant measure. In this note a simple and direct proof of the equivalence of the mixing property for Q and the ergodicity for Cardesian product PQ is given. |
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| Keywords: | Markov operator ergodicity weak mixing operator |
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