| Hilbert空间上C0半群一致算子拓扑连续的几点注记 |
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| 引用本文： | 徐瑞萍,高德智.Hilbert空间上C0半群一致算子拓扑连续的几点注记[J].山东科技大学学报(自然科学版),2002,21(1):42-45,84. |
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| 作者姓名： | 徐瑞萍 高德智 |
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| 作者单位： | 山东科技大学,信息科学与工程学院,泰安,271019 |
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| 摘 要： | 给出Hilbert空间上C0 半群T(t)在t >0和t>t0 时是一致算子拓扑连续的等价条件 ,进而得到紧半群的特征定理。并通过T(t)在t >t0 时一致算子拓扑连续的特征 ,给出T((t)在t>0时一致算子拓扑连续的等价条件。
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| 关 键 词： | C0半群 一致算子拓扑连续 无穷小生成元 预解集 Hilbert空间 紧半群 特征定理 |
| 文章编号： | 1000-2308(2002)01-0042-04 |
Some Notes for a C0- Semigroup with Continuity in the Uniform Operator Topology in Hilbert Space |
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| XU Rui ping,GAO De zhi.Some Notes for a C0- Semigroup with Continuity in the Uniform Operator Topology in Hilbert Space[J].Journal of Shandong Univ of Sci and Technol: Nat Sci,2002,21(1):42-45,84. |
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| Authors: | XU Rui ping GAO De zhi |
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| Abstract: | We obtain two equivalent conditions for a C 0 -semigroup with continuity in the uniform operator topology for t>0 and t>t 0 in Hilbert space respectively,then we get the characteristic theorem for compact semigroup.And we get equivalent conditions fro a C 0 -semigroup with continuity in the uniform operator topology for t>0 in terms of the condition for t>t 0. |
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| Keywords: | C 0 -semigroup continuity in the uniform opeator topology the infinitesimal generator the resolvent set |
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