| 关于投影算子随机乘积序列的收敛性 |
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| 引用本文： | 李国,陈白丽.关于投影算子随机乘积序列的收敛性[J].数学学报,1999,42(5):931-936. |
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| 作者姓名： | 李国 陈白丽 |
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| 作者单位： | 西安交通大学理学院信息科学与系统科学研究所西安,710049 |
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| 摘 要： | 投影算子随机乘积的收敛性奠定广泛应用数学方法的理论基础，本文将在某些宽松条件下研究并肯定回答有关投影算子随机乘积序列收敛性的两个问题．
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| 关 键 词： | 希尔伯特空间 投影算子 随机乘积 收敛 弱收敛 |
| 修稿时间： | :1998-06-0 |
On the Convergence of Random Products of Projection Operators |
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| Li Guo,Chen Baili.On the Convergence of Random Products of Projection Operators[J].Acta Mathematica Sinica,1999,42(5):931-936. |
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| Authors: | Li Guo Chen Baili |
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| Institution: | Li Guo; Chen Baili (College of Science and Institute for Information and System Science,Xi,dn Jiaotong University, Xi'an 710049, P. R. China) |
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| Abstract: | In this paper, the convergence of random products of a finite number of projection operators in Hilbert spaces is studied. The positive answer, under certain wild conditions, are given to two open problems concerning the convergence. |
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| Keywords: | Hilbert spaces Projective operators Random products Convergence Weakly convergent |
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