| Banach空间有界线性算子强连续双半群 |
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| 引用本文： | 许跟起.Banach空间有界线性算子强连续双半群[J].纯粹数学与应用数学,1995,11(1):78-85. |
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| 作者姓名： | 许跟起 |
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| 作者单位： | 山西大学 |
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| 摘 要： | 本文在Ｂａｎａｃｈ空间上研究单参数有界线性算子族－强连续双半群。
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| 关 键 词： | 线性算子 强连续双半群 巴拿赫空间 有界算子 |
THE STRONGLY CONTINUOUS BISEMIGROUP OF BOUNDED LINEAR OPERATORS ON BANACH SPACE |
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| Xu Genqi.THE STRONGLY CONTINUOUS BISEMIGROUP OF BOUNDED LINEAR OPERATORS ON BANACH SPACE[J].Pure and Applied Mathematics,1995,11(1):78-85. |
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| Authors: | Xu Genqi |
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| Abstract: | A family of bounded linear operators on Banach space, which is called a strongly continuous bisenigroup, is investigated in this paper. The definition of infinite generator of bisemigroup is given. By the discussion of the generator, the sufficient and necessary condition that an operator is a generator of bisemigroup is obtained. In sametime the uniqueness of generator and bisemigroup is discussed and the uniqueness of bisemigroup is the particular sense is given.. |
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| Keywords: | Banach space bounded linear operator strongly cotinuous bisemigroup |
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