| c0空间上生灭矩阵生成半群的条件 |
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| 引用本文： | 朱波,李扬荣.c0空间上生灭矩阵生成半群的条件[J].应用泛函分析学报,2001,3(4):305-309. |
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| 作者姓名： | 朱波 李扬荣 |
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| 作者单位： | 西南师范大学数学系.重庆,400715 |
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| 基金项目： | the National Natural Science Foundation of China (19871067) |
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| 摘 要： | 本讨论了c0空间上生灭矩阵生成C0-半群的条件，并证明了该生成的半群是一正的压缩半群。
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| 关 键 词： | Banach空间 算子半群 生灭过程 Q－矩阵 |
Conditions on
Generating Contractive Semigroups for Birth-death Matrices on C0 |
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| Abstract.Conditions on
Generating Contractive Semigroups for Birth-death Matrices on C0[J].Acta Analysis Functionalis Applicata,2001,3(4):305-309. |
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| Authors: | Abstract |
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| Abstract: | In this paper. we study the condition under which the Q-matrix for birth-death process generates a C0-semigroup of contractions on c0, and obtain a sufficient and necessary condition. We also prove that the contractive C0-semigroup is positive. |
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| Keywords: | Banach space semigroup of operators birth-death process Q-matrix |
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