| Banach空间上强混合的C_0-半群 |
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| 引用本文： | 姚玉武,刘恒,胡秀林. Banach空间上强混合的C_0-半群[J]. 数学年刊A辑(中文版), 2010, 31(2): 203-210 |
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| 作者姓名： | 姚玉武 刘恒 胡秀林 |
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| 作者单位： | 合肥学院数学与物理系;大连民族学院数学系; |
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| 基金项目： | 安徽省教育厅自然科学基金(No.KJ2008B249); 合肥学院人才引进基金(No.RC039)资助的项目 |
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| 摘 要： | 证明了每个可分无限维复Banach空间上都存在一个强混合的C_0-半群,在加权函数空间上给出了转移半群是强混合的一个充要条件.
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| 关 键 词： | 强混合 C_0-半群 转移半群 Banach空间 |
The Strongly Mixing C0-Semigroup on Banach Spaces |
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| YAO Yuwu,LIU Heng and HU Xiulin. The Strongly Mixing C0-Semigroup on Banach Spaces[J]. Chinese Annals of Mathematics, 2010, 31(2): 203-210 |
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| Authors: | YAO Yuwu LIU Heng HU Xiulin |
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| Affiliation: | YAO Yuwu~1 LIU Heng~2 HU Xiulin~1 1 Department of Mathematics , Physics,Hefei University,Hefei 230601,China. 2 Department of Mathematics,Dalian Nationalities University,Dalian 116600,Liaoning,China. |
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| Abstract: | It is shown that every separable infinite dimensional complex Banach space admits a strongly mixing C_0-semigroup.A necessary and sufficient condition for a translation semigroup to be strong mixing in weighted function spaces is given. |
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| Keywords: | Strong mixing Co-semigroup Translation semigroup Banach space |
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