| A类算子的谱性质 |
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| 引用本文： | 杨桦,戴晓明. A类算子的谱性质[J]. 河南科学, 2012, 0(10): 1411-1413 |
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| 作者姓名： | 杨桦 戴晓明 |
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| 作者单位： | 安阳工学院数理学院,河南安阳455000 |
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| 基金项目： | 河南省教育科学十二五规划课题（2011JKGHAD0196） |
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| 摘 要： | 主要讨论了A类算子谱的性质.若T是A类算子且ker kerT T*,则Weyl谱的谱映射定理及本质近似点谱的谱映射定理成立;若T是A类算子且ker kerT T*且S与T拟相似,则α-Browder′s定理对f(S)成立,其中f∈H(σ(S)).
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| 关 键 词： | A类算子 Weyl谱 本质近似点谱 α-Browder′s定理 |
The Spectrum Properties of Class A Operator |
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| Yang Hua,Dai Xiaoming. The Spectrum Properties of Class A Operator[J]. Henan Science, 2012, 0(10): 1411-1413 |
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| Authors: | Yang Hua Dai Xiaoming |
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| Affiliation: | (Science Faculty,Anyang Institute of Technology,Anyang 455000,Henan China) |
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| Abstract: | This artical is devoted to introduce the spectrum properties of class A operator.If T is a class A operator and ker kerT T＊,then the spectral mapping theorem holds for the Weyl spectrum and for the essential approximate point spectrum,and if T is a class A operator and ker kerT T＊,S and T quasi similarity,then α-Browder′s theorem holds for every f∈H（σ（S））. |
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| Keywords: | class A operator Weyl spectrum the essential approximate point spectrum α-Browder′s theorem |
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