| 指数有界的C余弦算子函数 |
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| 引用本文： | 郑权,雷岩松.指数有界的C余弦算子函数[J].系统科学与数学,1996,16(3):242-252. |
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| 作者姓名： | 郑权 雷岩松 |
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| 作者单位： | 华中理工大学数学系 |
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| 摘 要： | 本文引入了指数有界的Ｃ余弦算子函数的生成元，讨论了生成元的基本性质，建立了相应的生成定理、逼近定理及扰动定理．最后给出了指数有界的Ｃ余弦算子函数与指数有界的Ｃ半群的基本联系．
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| 关 键 词： | C余弦算子函数 生成定理 逼近定理 扰动定理 C半群 |
EXPONENTIALLY BOUNDED C-COSINE FUNCTIONS OF OPERATORS |
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| Zheng Quan,Lei Yansong.EXPONENTIALLY BOUNDED C-COSINE FUNCTIONS OF OPERATORS[J].Journal of Systems Science and Mathematical Sciences,1996,16(3):242-252. |
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| Authors: | Zheng Quan Lei Yansong |
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| Institution: | (1)Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074;(2)Department of Mathematics,Huazhong University of Science and Technology,Wuhan 430074 |
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| Abstract: | in this paper,the concept of the generator of an exponentially bounded Ccosine function is introduced.Basic properties,generation theorems,approximation theorems,and perturbation theorems for exponentially bounded C-cosine functions are given. Finally,the relationship between exponentially bounded C-cosine functions, exponentially bounded Csemigroups,and exponentially bounded intergrated cosine functions are obtained. |
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| Keywords: | C-cosine function of operators generation theorem approximation theorem perturbation theorem C-semigroup |
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