摘要
特征刻画了一类非自伴算子——U-标算子的谱。为此,引入算子谱性概念。具有谱性的U-标算子的点谱和连续谱由其U-谱族可以特征刻画,而且其谱集在拟仿射相似变化下保持不变。通过例子说明谱性容易验证。
The spectrum of a kind of nonselfadjoint operator,a Uscalar operator,is characterized.The notion of spectral property is introduced.It is easy to verify the property.And the spectrum including eigenvalues and continuous spectrum (no residual spectrum) of an operator with such property can be characterized by its Uspectral family of projection.
出处
《西北大学学报（自然科学版）》
CAS
CSCD
北大核心
2003年第5期499-502,共4页
Journal of Northwest University（Natural Science Edition）
关键词
非自伴算子
谱性质
特征刻画
拟仿射变换
non-selfadjoint operator
spectral property
characteristic expression
affine tranformation
