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| Banach空间中可闭化线性算子与无穷小生成元 | |
| 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].淮北煤炭师范学院学报(自然科学版),2009,30(1). |
| 作者姓名： | 陶有德 于景元 朱广田 |
| 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;北京信息控制研究所,北京,100037 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 |
| 基金项目： | 国家自然科学基金，河南省教育厅自然科学基金 |
| 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A成为C0压缩半群无穷小生成元的条件. |
| 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 C_0-semigroup of Contractions |
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| TAO You-de,YU Jing-yuan,ZHU Guang-tian.The Closable Linear Operator on Banach Space and the Infinitesimal Generator of a C_0-semigroup of Contractions[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),2009,30(1). | |
| Authors: | TAO You-de YU Jing-yuan ZHU Guang-tian |
| Institution: | TAO You- de1,2,YU Jing- yuan2,ZHU Guang- tian3 ( 1.College of Mathematics and Information Sciences,Xinyang Normal University,464000,Xinyang,Henan,China,2.Beijing Institute of Information Control,100037,Beijing,3.Institute of Mathematics and System Sciences,C.A.S.,100080,China) |
| 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 can be the infinitesimal generator of a C0- semigroup of contractions were obtained. |
| Keywords: | closable operator Banach space C0- semigroup of contractions the infinitesimal generator |
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