关于自共轭全连续算子谱分解理论的研究  

Research on the Spectral Decomposition Theory of Self-Conjugate Completely Continuous Operators

作　　者：薛荣[1] XUE Rong(Department of Balance of Payments,Lanzhou Branch,People’s Bank of China,Lanzhou 730000,China)

机构地区：[1]中国人民银行兰州中心支行国际收支处,甘肃兰州730000

出　　处：《兰州文理学院学报（自然科学版）》2020年第6期34-35,40,共3页Journal of Lanzhou University of Arts and Science(Natural Sciences)

摘　　要：讨论了自共轭全连续算子的谱分解理论,给出了一个重要定理,并做了简捷地证明,最后举了一个该定理在解算子方程方面的应用.In this paper,the spectral decomposition theory of self-conjugate completely continuous operators was discussed,and an important theorem was given and proved simply.Finally,an application of the theorem in solving operator equations was given.

关 键 词：自共轭算子 全连续算子 谱分解 

分 类 号：O177.7[理学—数学]