| 赋范空间中的紧算子 |
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| 作者单位： | 成都理工大学信息管理学院数学系 四川成都610059 |
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| 摘 要： | 介绍了Banach空间和赋范空间中的紧算子,并且通过介绍的知识获得了以下结果:紧算子的值域必是可分的,有限秩算子都是紧算子.介绍了几个简单的有关紧算子的结论,证明了几个赋范空间的紧算子相关的命题和与Banach空间中的紧算子有关的几个定理.
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| 关 键 词： | Banach空间 赋范空间 紧算子 紧集 紧空间 |
About compact operator of normed space |
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| Authors: | YANG Xiao-xia FENG Cheng |
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| Abstract: | The compact operator of Banach space and compact operator of normed space are introduced,and the following results are proved:the value field of compact operator must be dividable,finite rank operators are all compact operators.Some propositions about compact operator are introduced,some theorems about the compact operator of normed space and some compact operator of Banach space are proved. |
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| Keywords: | Banach space normed space compact operator compact set compact space |
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