设H为复Hiblert空间,对给定的算子A∈B(H),B∈B(H),主要从三个方面研究线性算子束Aλ+B的谱,即基本性质、非正则性、谱的分布情况.
Given the operators A,B with A,B acting on complex Hilbert spaces H.The spectra of linear operator pencils Aλ+B are presented.Firstly,the basic properties for spectra of linear pencils are discussed.Secondly,the non-regularity are obtained.Lastly,the distribution with spectra of linear pencils is explored.