| 概率赋范线性空间中紧连续算子的延拓定理与拓扑度 |
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| 引用本文： | 曹菊生,林颐锜.概率赋范线性空间中紧连续算子的延拓定理与拓扑度[J].南京师大学报,1991(1). |
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| 作者姓名： | 曹菊生 林颐锜 |
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| 作者单位： | 南京师大数学系
(曹菊生)，南京师大数学系(林颐锜) |
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| 摘 要： | 本文给出概率列紧集的一个有用的判别法,证明了完备的M-PN空间中紧连续算子的一致逼近定理及延拓定理,同时讨论了集值概率上半连续紧映象的拓扑度。
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| 关 键 词： | 概率(ε λ)—网 概率紧连续算子 概率集值上半连续紧映象 拓扑度 |
The Extension Theorem and the Topological Degree of Compact Continuous Operators on a Probabilistic Normed Linear Space |
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| Cao Juenbeng Lin Yiqi.The Extension Theorem and the Topological Degree of Compact Continuous Operators on a Probabilistic Normed Linear Space[J].Journal of Nanjing Normal University(Natural Science Edition),1991(1). |
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| Authors: | Cao Juenbeng Lin Yiqi |
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| Institution: | Department of Mathematics |
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| Abstract: | This paper gives an useable criterion of probabilistic precompact set. We prove an uniformly approximate theorem and an extension theorem of probabilistic compact continuous operators on a compeletly M-PN space, We also discuss the topological Degree of multivalued probabilistic upper semicontinuous compact mappings. |
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