摘要
自伴算子Ａ的值域按Ｄｉｘｍｉｅｒ的观点分成四类，即２ａ类、２ｂ类、闭子空间及紧算子的值域．Ａ经正的或实的连续函数演算得到的正算子或自伴算子ｆ（Ａ），其值域和Ａ的值域所属的类型在一定条件下有密切的关系．
This paper discusses the classification of ranges of operators A and f(A).By Dixmier's opinion,the ranges of self adjoint operator A can be divided into four types,they are the ranges of the class 2a,the class 2b,the closed subspace and the compact operator.By means of positive or real continuous function calculus,a positive or self adjoint operator f(A) is obtained from A.It analyzes the relationship of the range types of A and f(A) according to the Weyl mapping theorem for limit point.
出处
《沈阳建筑工程学院学报》
1997年第1期71-75,共5页
Journal of Shenyang Archit Civil Eng Univ: Nat Sci
关键词
自伴算子
紧算子
分类
函数演算
self adjoint operators
compact operators
classification
continuous function calculus
