摘要
以算子最小模为工具，证明了全体闭值域算子在希尔伯特空间中的稠密性。进一步讨论了闭值域算子和算子最小模的相互关系。在此基础上，给出了闭值域算子的一些充分和必要的条件。
In this paper,the density of all the closed range operato rs in Hilbert Space is proved using the minimum modulus of the op erator.Further discussion about the relation between the operator and operator's minimum modulus is conducted.Then some sufficient condition s and necessary conditions are given.
出处
《燕山大学学报》
CAS
2001年第1期63-65,共3页
Journal of Yanshan University
关键词
闭值域
谱分解
可逆算子
聚点
closed range,spectral decomposition,inevitable operator, accumulation point.
