姚玉武,刘恒,胡秀林.Banach空间上强混合的C0-半群[J].数学年刊A辑,2010,31(2):203~210 |
Banach空间上强混合的C0-半群 |
The Strongly Mixing C0-Semigroup on Banach Spaces |
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DOI: |
中文关键词: 强混合 C0-半群 转移半群 Banach空间 |
英文关键词:Strong mixing C0-semigroup Translation semigroup Banach space |
基金项目:安徽省教育厅自然科学基金,合肥学院人才引进基金 |
Author Name | Affiliation | E-mail | YAO Yuwu | Department of Mathematics and Physics, Hefei University, Hefei 230601,
China. | mr6688@sina.com | LIU Heng | Department of Mathematics, Dalian Nationalities University, Dalian 116600,
Liaoning, China. | liuheng?80@163.com | HU Xiulin | Department of Mathematics and Physics, Hefei University, Hefei 230601,
China. | huxlxy@hfuu.edu.cn |
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中文摘要: |
证明了每个可分无限维复Banach空间上都存在一个强混合的Co-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. |
英文摘要: |
It is shown that every separable infinite dimensional complex Banach space admits a strongly mixing C0-semigroup. A necessary and sufficient condition for a translation semigroup to be strong mixing in weighted function spaces is given. |
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