| 完全连续的双参数C0半群 |
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| 引用本文： | 赵月英,宋晓秋,邓芳.完全连续的双参数C0半群[J].临沂师范学院学报,2009,31(3):26-28. |
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| 作者姓名： | 赵月英 宋晓秋 邓芳 |
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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： | 中国矿业大学科技基金 |
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| 摘 要： | 为了丰富半群理论，在对双参数C0半群概念界定的基础上利用经典的算予半群理论，引入了完全连续双参数C0半群的概念，得出了完全连续双参数C0半群的由其无穷小生成元所刻划的特征，并讨论了单参数C0完全连续性与双参数C0半群完全连续性之间的联系．
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| 关 键 词： | 双参数C0半群 无穷小生成元 完全连续算子 |
Completely Continuous of Two-parameter C0 Semigroups |
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| ZHAO Yue-ying,SONG Xiao-qiu,DENG Fang.Completely Continuous of Two-parameter C0 Semigroups[J].Journal of Linyi Teachers' College,2009,31(3):26-28. |
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| Authors: | ZHAO Yue-ying SONG Xiao-qiu DENG Fang |
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| Institution: | (School of Science, China Mining University, Xuzhou Jiangsu 221008, China) |
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| Abstract: | In order to enrich the theory of semigroups, definition of two-parameter Co semigroups and classical methods in operator semigroups theory are introduced. The concept of completely continuous of two-parameter Co semigroups is introduced. Characterization of completely continuous two-parameter Co semigroups solely in terms of properties of its infinitesimal generator is obtained and the relationship between the one-parameter Co semigroups and two-parameter Co semigroups is also discussed. |
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| Keywords: | two-parameter Co semigroups inifinitesimal generator completely continuous operator |
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