| 线性算子双半群的扰动定理 |
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| 引用本文： | 许跟起,冯德兴. 线性算子双半群的扰动定理[J]. 应用数学学报, 2001, 24(1): 111-118 |
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| 作者姓名： | 许跟起 冯德兴 |
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| 作者单位： | 中国科学院数学与系统科学研究院系统科学研究所,北京,100080 |
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| 基金项目： | 国家攀登计划和山西省自然科学基金及山西省教委专项基金资助项目. |
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| 摘 要： | 本文研究有界线性算子强连续双半群的扰动问题。文中首先研究与强连续双半群母元有关的算子方程的可解性与算子的相似性。在此基础上证明了在一定条件下可化为指数衰减的强连续双半群经适当扰动后仍是一个可化为指数衰减的强连续双半群。
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| 关 键 词： | 算子方程 双半群 扰动 BANACH空间 线性算子 强连续双半群 |
A PERTURBATION THEOREM FOR BISEMIGROUPS OF LINEAR OPERATORS |
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| XU GENQI FENG DEXING. A PERTURBATION THEOREM FOR BISEMIGROUPS OF LINEAR OPERATORS[J]. Acta Mathematicae Applicatae Sinica, 2001, 24(1): 111-118 |
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| Authors: | XU GENQI FENG DEXING |
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| Abstract: | In this paper the perturbation problem of bisemigroups is considered. First solvability of an operator equation and similarity of operators concerned with the infinitesimal generator of a strongly continuous bisemigroup are investigated. Then based on the obtained results, it is shown that the transmutable exponential decay property of bisemigroups is preserved under a bounded operator perturbation with some conditions. |
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| Keywords: | Solyability of operator equation similarity of operators bisemigroup perturbation |
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