| 强压缩积分算子半群与耗散算子 |
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| 引用本文： | 赵文强.强压缩积分算子半群与耗散算子[J].重庆工商大学学报(自然科学版),2006,23(4):326-328. |
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| 作者姓名： | 赵文强 |
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| 作者单位： | 重庆工商大学,理学院,重庆,400067 |
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| 摘 要： | 从n-耗散子的定义出发,证明了强压缩积分算子半群的生成元是1-耗散的,并用1-耗散算子刻画强压缩积分算子半群;最后给出了n-耗散算子的一个重要性质.
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| 关 键 词： | 强压缩积分算子半群 n-耗散算子 耗散算子 |
| 文章编号： | 1672-058X（2006）04-0326-03 |
| 收稿时间： | 2006-04-20 |
| 修稿时间： | 2006-04-202006-05-26 |
Strong-contraction integrated semigroups and dissipative operators |
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| ZHAO Wen-qiang.Strong-contraction integrated semigroups and dissipative operators[J].Journal of Chongqing Technology and Business University:Natural Science Edition,2006,23(4):326-328. |
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| Authors: | ZHAO Wen-qiang |
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| Institution: | College of Science, Chongqing Technology and Business University, Chongqing 400067, China |
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| Abstract: | The 1-dissipativeness of the generator of strong-contraction integrated semigroups is proved by means of the definition of n-dissipative operators.Furthermore,the strong-contraction integrated semigroups is characterized in terms of 1-dissipative operators.Lastly,an important characteristic about n-dissipative operators is obtained. |
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| Keywords: | strong-contraction semigroups n-dissipative operator dissipative operator |
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