| 算子f（A）的值域分类 |
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| 引用本文： | 朱宝彦.算子f（A）的值域分类[J].沈阳建筑工程学院学报(自然科学版),1997,13(1):71-75. |
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| 作者姓名： | 朱宝彦 |
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| 作者单位： | 沈阳建筑工程学院基础部 |
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| 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经正的域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密切的关系。本文用Ｗｅｙｌ极限点的映定理主定主要工具讨论了Ａ的值域ｆ（Ａ）的值域所属类型的关系。
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| 关 键 词： | 自伴算子 紧算子 分类 函数演算 |
Classification of ranges of operator f(A) |
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| Zhu Baoyan.Classification of ranges of operator f(A)[J].Journal of Shenyang Archit Civil Eng Univ: Nat Sci,1997,13(1):71-75. |
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| Authors: | Zhu Baoyan |
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| Abstract: | 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. |
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| Keywords: | self adjoint operators compact operators classification continuous function calculus |
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