无界线性算子的谱

The Spectrum of the Unbounded Linear Operators

无界线性算子谱理论的研究是算子理论的重要研究内容,它能有效地解决现代数学、现代物理学、量子力学中的具体问题.由于研究的目的和角度不同,无界线性算子的谱的分类形式也各不相同.介绍了无界线性算子谱的多种分类形式,并给出各种谱集之间的相互关系.

The spectral theory of linear operator plays important part in the linear operator theory, and it can be directly applied in solving concrete problems in mathematics, modern physics, quantum mechanic, and so on. The spectrum of unbounded linear operators was divided into different subsets by the different studying purposes. In this paper, we give the divisions of the spectrum of unbounded linear operators in many aspects ,and obtain some relationships among the subsets.