| 双连续C半群的逼近定理 |
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| 引用本文： | 李慧敏,宋晓秋.双连续C半群的逼近定理[J].内江师范学院学报,2009,24(12):27-29. |
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| 作者姓名： | 李慧敏 宋晓秋 |
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| 作者单位： | 中国矿业大学理学院,江苏,徐州,221008 |
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| 基金项目： | 徐州市科技计划项目，中国矿业大学科技基金资助 |
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| 摘 要： | 基于Banach空间中强连续半群的逼近理论，结合双连续C半群概念，通过讨论其生成元与预解式之间的关系，得到双连续C半群的逼近定理，从而推广了Banach空间上强连续半群的逼近定理．
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| 关 键 词： | 双连续C半群 生成元 C-预解式 逼近定理 |
On Approximation Theorem for Bi-Continuous C-semigroups |
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| LI Hui-min,SONG Xiao-qiu.On Approximation Theorem for Bi-Continuous C-semigroups[J].Journal of Neijiang Teachers College,2009,24(12):27-29. |
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| Authors: | LI Hui-min SONG Xiao-qiu |
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| Affiliation: | (College of Science, China University of Mining and Technology, Xuzhou, Jiangsu 221008,China) |
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| Abstract: | Based on the approximation theories of strong continuous semigroups on Banach space, and in combination with the concept of hi-continuous C-semigroups, the approximation theorems of bi-continuous C-semigroups is thus obtained by analyzing the relations between its generator and resolvent, and the said approximation theorem for the strong continuous semigroups on Banach space is then generalized. |
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| Keywords: | bi-continuous C-semigroups generators C-resolvent approximation theorem |
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