袁国常.算子的算子点谱的判定[J].数学研究及应用,1999,19(5):233~237
算子的算子点谱的判定
On the Judgement for Operator Point Spectrum of Operator
投稿时间:1996-12-17  
DOI:10.3770/j.issn:1000-341X.1999.05.015
中文关键词:  亚正常算子  算子点谱
英文关键词:hyponormal operator  operator point spectrum.
基金项目:
作者单位
袁国常 湖北省宜昌市林业学校 
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中文摘要:
      本文讨论了算子A∈B(H)为算子T∈B(H)的算子点谱的判定条件,特别得到:当T为亚正常算子时,A为T的算子点谱的判定条件,另外还得到kerτT,A=kerτT,A成立的充分条件
英文摘要:
      In this paper, we discuss the judgement conditions that A∈B(H)N is the operator point spectrum of T∈B(H) . In particular, a condition is given for A∈Λp(T) when T is a hyponormal operator and A is commutable for T and T*. Additionally, we obtain the judgement condition forkerτT,A=kerτT,A.
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