| Banach空间中可闭化线性算子与无穷小生成元 |
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| 引用本文： | 陶有德,;于景元,;朱广田.Banach空间中可闭化线性算子与无穷小生成元[J].淮北煤师院学报,2009(1):15-17. |
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| 作者姓名： | 陶有德 ;于景元 ;朱广田 |
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| 作者单位： | [1]信阳师范学院数学与信息科学学院,河南信阳464000; [2]北京信息控制研究所,北京100037; [3]中国科学院数学与系统科学研究院,北京100080 |
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| 基金项目： | 基金项目：国家自然科学基金资助项目（10671166）;河南省教育厅自然科学基金资助项目（2005KYCX017） |
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| 摘 要： | 文章研究了Banach空间上可闭化线性算子A的分析性质，并给出其闭化算子万成为C0压缩半群无穷小生成元的条件．
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| 关 键 词： | 可闭化算子 Banach空间 C0压缩半群 无穷小生成元 |
The Closable Linear Operator on Banach Space and the Infinitesimal Generator of a Co -semigroup of Co~ttractions |
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| Institution: | TAO You-de, YU Jing-yuan, ZHU Guang-tian ( 1. College of Mathematics and Information Sciences, Xinyang Normal University, 464000, Xinyang, Henan, China; 2. Beijing Institute of Information Control, 100037, Beijing, China; 3. Institute of Mathematics and System Sciences, C. A. S. , 100080, Beijing, China) |
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| Abstract: | The properties of closable linear operator A on Banach space X were studied in this paper, and some sufficient conditions that the close of A can be the infinitesimal generator of a Co - semigroup of contractions were obtained. |
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| Keywords: | closable operator Banach space Co - semigroup of contractions the infinitesimal generator |
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