| Hilbert空间上最终范数连续半群的特征刻画 |
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| 引用本文： | 汪文珑,许跟起. Hilbert空间上最终范数连续半群的特征刻画[J]. 数学学报, 2005, 48(1): 75-80. DOI: cnki:ISSN:0583-1431.0.2005-01-008 |
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| 作者姓名： | 汪文珑 许跟起 |
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| 作者单位： | [1]绍兴文理学院数学系，绍兴312000 [2]天津大学理学院数学系，天津300072 |
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| 基金项目： | 浙江省自然科学基金资助项目(102002)南开大学和天津大学刘辉应用数学研究中心资助项目 |
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| 摘 要： | 本文研究Hilbert空间上最终范数连续半群的特征条件,仅利用半群生成元的预解式,给出Hilbert空间上C0-半群最终范数连续的一个的充要条件.
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| 关 键 词： | Hilbert空间 最终范数连续 C0-半群 |
A Characterization of Eventually Norm Continuous Semigroups on Hilbert Space |
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| Wen Long WANG. A Characterization of Eventually Norm Continuous Semigroups on Hilbert Space[J]. Acta Mathematica Sinica, 2005, 48(1): 75-80. DOI: cnki:ISSN:0583-1431.0.2005-01-008 |
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| Authors: | Wen Long WANG |
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| Affiliation: | Wen Long WANGDepartment of Mathematics, Shaoxing College of Arts and Science, Shaoxing 312000, P. R. ChinaGen Qi XUDepartment of Mathematics, Tianjin University, Tianjin 300072, P. R. China |
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| Abstract: | In this paper, a new characterization of eventually norm continuous semigroups on Hilbert space is given. By using the resolvent of the generator, we give the sufficient and necessary conditions for the semigroups to be being eventually norm continuous. |
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| Keywords: | Hilbert space Eventually norm continuous Co-semigroup |
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