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.
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.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第S1期27-29,共3页
Journal of Yunnan University(Natural Sciences Edition)
