| Yosida逼近的性质和应用 |
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| 引用本文： | 胡占荣,张连平.Yosida逼近的性质和应用[J].山西大学学报(自然科学版),2003,26(3):200-203. |
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| 作者姓名： | 胡占荣 张连平 |
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| 作者单位： | 山西大学,数学系,山西,太原,030006 |
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| 基金项目： | ShanxiProvincialNaturalSciencefoundation(2 0 0 0 10 0 2 ) |
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| 摘 要： | 文章从Banach空间X上Co半群T(t)的无穷小母元A的Yosida逼近Aλ出发给出了两个充要条件,它们分别保证了T(t)对t≥to(to>0)的可微性与T(t)在一致算子拓扑下对t≥to(to>0)的连续性.
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| 关 键 词： | Banach空间 Co半群 Yosida逼近 无穷小母元 一致算子拓扑 连续性 可微性 |
On the Property and Applications of the Yosida approximation |
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| Abstract.On the Property and Applications of the Yosida approximation[J].Journal of Shanxi University (Natural Science Edition),2003,26(3):200-203. |
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| Authors: | Abstract |
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| Abstract: | Two full characterizations are given,in terms of the Yosida approximation of the infinitesimal generator Aof a Co semigroup T(t) on a Banach space X,which assure respectively the differentiability of T(t) for t≥to(to＞0)and the continuity of T(t) for t≥to(to＞0) in the uniform operator topology. |
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| Keywords: | C_o semigroup the Yosida approximation Banach space |
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