| 双连续C正则预解算子族的生成定理 |
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| 引用本文： | 陈藏,宋晓秋,仓定帮.双连续C正则预解算子族的生成定理[J].数学的实践与认识,2013,43(7). |
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| 作者姓名： | 陈藏 宋晓秋 仓定帮 |
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| 作者单位： | 1. 华北科技学院基础部,北京,101601
2. 中国矿业大学理学院,徐州,221008 |
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| 基金项目： | 国家自然科学基金，中央高校基本科研资助基金 |
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| 摘 要： | 基于C正则预解算子族和双连续C_0半群引入了双连续C正则预解算子族的概念,考察了双连续C正则预解算子族生成元与预解式之间的关系,给出了双连续C正则预解算子族Hille-Yosida型生成定理,从而对Bananch空间强连续半群的生成定理进行了推广.
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| 关 键 词： | 双连续C正则预解算子族 生成元 生成定理 |
A Generation Theorem For Bi-continuous C Regularized Resolvent Operator Families |
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| CHEN Cang
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SONG Xiao-qiu
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CANG Ding-bang.A Generation Theorem For Bi-continuous C Regularized Resolvent Operator Families[J].Mathematics in Practice and Theory,2013,43(7). |
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| Authors: | CHEN Cang SONG Xiao-qiu CANG Ding-bang |
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| Abstract: | Based on the theories of bi-continuous semigroups and C regularized resolvent operator families,the concept of bi-continuous C regularized resolvent operator families was presented.The relations between the operators and the resolvent were investigated.We obtained the generation theorem for bi-continuous C regularized resolvent operator families and then generalize the generation theorem for the strong continuous semigroups on Banach space. |
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| Keywords: | bi-continuous C regularized resolvent operator families generator generation theorem |
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