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完全超约化算子的几个性质
引用本文:李德志,葛照强.完全超约化算子的几个性质[J].纯粹数学与应用数学,1993,9(1):87-89.
作者姓名:李德志  葛照强
作者单位:西北轻工业学院,西北轻工业学院
摘    要:本文讨论了完全超约化算子的性质,共得到三个结果,主要结果是给出了完全超约化算子有一个超约的特征向量的充分条件。

关 键 词:完全超约化算子  紧算子  正规算子  希尔伯特空间

Some Properties Concerning Completely Hyperreductive Operators
LI DEZHI,GE ZHAOQIANG Northwest Institute of Light Industry.Some Properties Concerning Completely Hyperreductive Operators[J].Pure and Applied Mathematics,1993,9(1):87-89.
Authors:LI DEZHI  GE ZHAOQIANG Northwest Institute of Light Industry
Institution:LI DEZHI;GE ZHAOQIANG Northwest Institute of Light Industry
Abstract:In this note, we discuss the properties of Completely hyperreductive opera-tors, three results are obtained. The main results are sufficient conditions that a completelyhyperreductive operator has a hyperreducing eigen vector.
Keywords:Completely hyperreductive operator  Compact operator  Normal operator
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