关于算子的算子点谱的注记  

The Rimark on the Operator Point Spectrums

作　　者：袁国常 苟幼松 宋晓俏 

机构地区：[1]湖北省宜昌市林业学校,湖北宜昌443100 [2]湖北省当阳市职教中心,湖北当阳444100

出　　处：《湖北三峡学院学报》2000年第2期23-25,共3页Journal of China Three Gorges University(Humanities & Social Sciences)

摘　　要：本注记在文献[1 ]的基础上进一步讨论了算子A∈B(H) N 为算子T∈B(H)的算子点谱的特征 特别得到当T为亚正常算子、A与T及T 可换时A为T的算子点谱的充要条件 同时得到了KerτnT ,A=KerτT 。In this remark, we discuss the characte that A∈B(H) N is the operator point spectrum of T∈B(H) In particular, when T is a hyponormal operator and A is commutable for T and T  a sufficient condition and necssary condition was obtained Additionally, we obtained the sufficient condition and necessary condition for ker τ n T,A =kerτ T,A

关 键 词：亚正常算子 算子点谱 充要条件 

分 类 号：O177.1[理学—数学]