T~*=T^2时算子T的谱  

Spectrum of Operator T when T~*=T ~2

作　　者：崔红卫[1] 韩流冰[2] 

机构地区：[1]西南财经大学经济数学系,四川成都610074 [2]西南交通大学应用数学系,四川成都610031

出　　处：《西南交通大学学报》2003年第6期727-729,共3页Journal of Southwest Jiaotong University

摘　　要：对自共轭算子的概念加以推广,引进了平方共轭算子的概念.应用希尔伯特空间上正规算子的概念、性质、谱映射定理和类推的方法,研究了该类算子的性质及正则值存在的充要条件.结果表明,当T =T2时,该类算子T的谱是有限的特征谱.The concept of a selfconjugate operator in Hilbert space was extended by introducing the definition of a conjugate squareoperator. The properties of the operator and the necessary and sufficient conditions for the regular value to exist were studied using the concept and properties of normal operators in Hilbert space, the spectrum mapping principle and analogy. The results obtained show that, when T*=T  2, the spectrum of conjugate squareoperator T is a finite spectrum.

关 键 词：正规算子 正则值 共轭平方算子 特征谱 

分 类 号：O179[理学—数学]