| Some Properties of Two Kinds of Multifunctions |
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| 作者姓名： | 曹继玲 |
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| 作者单位： | Dept. Math. |
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| 基金项目： | This paper was reported at the 5th National Functional Analysis Conference held at Nanjing in Nov.,1990. |
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| 摘 要： | Let X and Y be metrizable topological linear spaces.In this paper,the following results are proved:(1)If X and Y are complete,F;X→Y is a point closed u.s.c.,and symmetric process with ——↑F(X)=Y,then either F(X) is meager in Y,or else F is an open multifunction with F(X)=Y.(2)If X is complete,and F:X→Y is a process with a subclosed graph,then F is l.s.c..We also discuss topological multi-homomorphisms between topological linear spaces.
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| 关 键 词： | 多值函数 可度量拓扑线性空间 性质 过程 扇 半连续 多重同态 闭图 开映射定理 |
Some Properties of Two Kinds of Multifunctions |
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| Cao Jiling.Some Properties of Two Kinds of Multifunctions[J].Chinese Quarterly Journal of Mathematics,1992,7(4):51-55. |
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| Authors: | Cao Jiling |
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| Institution: | Dept.Math.TianjinUniversity,Tianjing,300072 |
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| Abstract: | |
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| Keywords: | process fan upper semicontinuous lower semicontinuous subclosed graph multi-homomorphism |
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