| 非完备赋范空间上一族闭凸过程的共鸣定理 |
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| 引用本文： | 王润杰,张德欣.非完备赋范空间上一族闭凸过程的共鸣定理[J].哈尔滨师范大学自然科学学报,1995,11(3):1-6. |
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| 作者姓名： | 王润杰 张德欣 |
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| 作者单位： | 哈尔滨师范大学，哈尔滨工程大学，哈尔滨市１１９中 |
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| 摘 要： | 在［１］［２］中引进了闭凸过程的集值映射，并且在Ｂａｎａｃｈ空间中给出了著名的定理－共鸣定理。本文将空间的完备性去掉，在第二纲的赋范线性空间中给出相应的共鸣定理。
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| 关 键 词： | 闭凸过程 赋范空间 集值映射 巴拿赫空间 |
UNIFORM BOUNDEDNESS THEOREM OF CLOSED CONVEX PROCESS ON NON-COMPLETE NORMED SPACE |
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| Wang Runjie,Zhang Dexin,Li Gui Lan.UNIFORM BOUNDEDNESS THEOREM OF CLOSED CONVEX PROCESS ON NON-COMPLETE NORMED SPACE[J].Natural Science Journal of Harbin Normal University,1995,11(3):1-6. |
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| Authors: | Wang Runjie Zhang Dexin Li Gui Lan |
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| Institution: | Wang Runjie;Zhang Dexin;Li Gui Lan (Harbin Normal Univeristy)(Harbin Engineering Universith)(Harbin 119 Middle School) |
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| Abstract: | In1]2],set-valued map of closed convex process was introduced,asnd the famous theorem-uniform boundedness theorem was given in Banach space.However,in this paper,the completeness is called off,and the corresponding uniform boundedness theorem is given in the second Bair category normed linear space. |
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| Keywords: | Closed convex process Second Bair category space |
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