| A Generalization of C—semigroup |
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| 引用本文： | 沈隽皓,宋国柱. A Generalization of C—semigroup[J]. 东北数学, 2000, 16(4): 417-427 |
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| 作者姓名： | 沈隽皓 宋国柱 |
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| 作者单位： | Department of Mathematics，Nanjing University，Nanjing，210093 |
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| 基金项目： | TheNNSF (1 9971 0 39)ofChinaandPhD .PointFoundation (970 2 84 2 5)ofChina. |
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| 摘 要： | § 1.ＴｈｅＧｅｎｅｒａｌＣ ｓｅｍｉｇｒｏｕｐ Ｉｎｔｈｉｓｐａｐｅｒ,ｗｅｌｅｔＸｂｅａＢａｎａｃｈｓｐａｃｅ,ａｎｄＢ(Ｘ)ｔｈｅｓｐａｃｅｏｆａｌｌｂｏｕｎｄｅｄｌｉｎｅａｒｏｐｅｒａｔｏｒｓｆｒｏｍＸｉｎｔｏＸ . Ｄｅｆｉｎｉｔｉｏｎ 1 .1 ＳｕｐｐｏｓｅＣｉｓａｂｏｕｎｄｅｄｉｎｊｅｃｔｉｖｅｏｐｅｒａｔｏｒｆｒｏｍＸｉｎｔｏＸ .Ｔｈｅｆａｍｉｌｙｏｆｂｏｕｎｄｅｄｌｉｎｅａｒｏｐｅｒａｔｏｒｓ (Ｓ(ｔ) ) ｔ≥ 0 ｉｓａｇｅｎｅｒａｌＣ ｓｅｍｉｇｒｏｕｐｉｆｉｔｈａｓｔｈｅｆｏｌｌｏｗｉｎｇ…
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| 关 键 词： | 广义C－半群 巴拿赫空间 有界线性算子 |
A Generalization of C-semigroup |
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| SHEN Jun hao and SONG Guo zhu. A Generalization of C-semigroup[J]. Northeastern Mathematical Journal, 2000, 16(4): 417-427 |
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| Authors: | SHEN Jun hao and SONG Guo zhu |
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| Abstract: | In this paper, we define the concept of general C semigroup, which is an generalization of C semigroup. The generator and the genertion of this general C semigroup are discussed. Some examples and interesting applications are given too. |
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| Keywords: | general C semigroup generator extended generator |
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