| 指数有界C余弦算子函数与积分余弦函数的扰动 |
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| 引用本文： | 张玉丽,宋晓秋. 指数有界C余弦算子函数与积分余弦函数的扰动[J]. 大连铁道学院学报, 2009, 0(3): 108-111 |
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| 作者姓名： | 张玉丽 宋晓秋 |
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| 作者单位： | 大连交通大学理学院;中国矿业大学理学院; |
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| 摘 要： | 研究了指数有界C余弦算子函数在C不必具有稠值域时的扰动问题，并根据积分余弦函数与C余弦算子函数的基本关系，进而得到了2n次积分余弦函数带非稠定生成元的扰动结果．
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| 关 键 词： | C余弦算子函数 积分余弦函数 扰动 |
Perturbation Theorems for Exponentially Bounded C-Cosine Operator Functions and Intergrated Cosine Functions |
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| ZHANG Yu-Li,SONG Xiao-qiu. Perturbation Theorems for Exponentially Bounded C-Cosine Operator Functions and Intergrated Cosine Functions[J]. Journal of Dalian Railway Institute, 2009, 0(3): 108-111 |
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| Authors: | ZHANG Yu-Li SONG Xiao-qiu |
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| Affiliation: | ZHANG Yu-Li1,SONG Xiao-qiu2(1.School of Mathematics , physics,Dalian Jiaotong University,Dalian 116028,China,2.School of Mathematics , Physics,China University of Mining , Technology,Xuzhou 221008,China) |
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| Abstract: | Perturbation for C-cosine operator functions are discussed with operator C whose range may not be dense on a Banach space X.With the relationships to integrated cosine functions,perturbation for 2n-times integrated cosine functions are obtained. |
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| Keywords: | C-cosine operator functions integrated cosine functions perturbation |
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