| 一类算子矩阵及应用 |
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| 引用本文： | 梁进,肖体俊.一类算子矩阵及应用[J].昆明理工大学学报(理工版),1992(5). |
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| 作者姓名： | 梁进 肖体俊 |
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| 作者单位： | 昆明工学院基础部，云南师范大学 |
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| 基金项目： | 国家自然科学基金，云南省应用基础研究基金(青年)资助课题 |
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| 摘 要： | 在本文中,我们讨论了Banach空间中的一类算子矩阵,证明了此类算子矩阵为一强连续有界线性算子半群的无穷小生成元,并给出了它的一个应用。
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| 关 键 词： | Banach空间 线性算子 强连续半群 无穷小生成元 半线性 |
A Kine of Operator Matrix and Its Applications |
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| Liang Jin.A Kine of Operator Matrix and Its Applications[J].Journal of Kunming University of Science and Technology(Natural Science Edition),1992(5). |
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| Authors: | Liang Jin |
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| Affiliation: | Liang Jin(Department of Basic Science)Xiao Tijun(Yunnan Teacher's Uviversity) |
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| Abstract: | In this paper, we discuss a kind of operator matrix in Banach spaces, and show that operator matrix of this kind is the infinitesimal generator of a strongly continuous semigroup of bounded linear operators. Moreover, we give two applications of this result. |
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| Keywords: | Banach space Linear operator Strongly continuous semigroup Infinitesimal generator Semilinear |
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