| C-半群的Lumer-Phillips定理与C-Hermitian算子 |
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| 引用本文： | 李扬荣.C-半群的Lumer-Phillips定理与C-Hermitian算子[J].数学学报,1997,40(1):43-52. |
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| 作者姓名： | 李扬荣 |
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| 作者单位： | 西南师范大学数学系 重庆630715 |
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| 摘 要： | 本文给出了稠定闭算子A(或A的扩张)生成压缩C-半群的充分条件,且在C是等距算子时,证明了该条件是必要的,推广了Lumer-Phillips定理.并用结果刻划了等距C-群的生成元.
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| 关 键 词： | 算子半群 C-半群 耗散算子 Hermitian算子 |
| 收稿时间： | 1994-11-22 |
| 修稿时间： | 1995-6-1 |
Lumer-Phillips Theorem for C-Semigroups and C-Hemitian Operators |
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| Li Yangrong.Lumer-Phillips Theorem for C-Semigroups and C-Hemitian Operators[J].Acta Mathematica Sinica,1997,40(1):43-52. |
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| Authors: | Li Yangrong |
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| Institution: | Li Yangrong
(Department of Mathematices, Southwest Normal University, Chongqing 630715, China) |
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| Abstract: | We give a sufficient condition, for a densely defined operator A, generating a contract C-semigroup, which is also necessary if C is a isometric operator, this generalize the Lumer-Phillips theorem; moreover, we use this result to describe the generators of isometric C-semigroups. |
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| Keywords: | Semigroup of operators C-semigroups Dissipative operators Hermitian operators |
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