摘要
研究了希尔伯特空间上算子束的特性.利用算子谱理论及空间分解的技巧,通过构造算子矩阵的方法,得到线性算子束Aλ+B谱的性质及Aλ+B的非正规性的充分必要条件.
Let be separable Hilbert spaces and （A,B） be a given pair of operators in B（） . Some properties of the spectrum σ（λA＋B） of λA＋B is considered and the necessary and suffi- cient conditions have been obtained for Aλ ＋B to be non-regular by using the method of block operator construction and the theory of operator spectrum.
出处
《纺织高校基础科学学报》
CAS
2012年第2期127-131,共5页
Basic Sciences Journal of Textile Universities
基金
The National Natural Science Foundation of China(1971123)
The National Science Foundation of Shaanxi(2011JM1007)
关键词
算子束
算子束的非正则性
算子束的谱
linear pencils spectrum of linear pencil
non-regularity of linear pencil
