k-拟-*-A算子的谱性质及其应用

The Spectrum Properties of K-Quasi-*-A Operator and its Application

主要给出k-拟-＊-A算子的谱性质及其应用，若T是k-拟-＊-A算子且N（T）包含于N（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k-拟-＊-A算子，N（T）包含于N（T^＊）且S—T，则a-Browder’s定理对f（S）成立，其中f∈H（σ（S））．

This thesis is devoted to introduce the spectrum properties of k-quasi-＊-A operator and its application, such as if T is a k-quasi-＊-A operator and N（T） lohtain in N（T^＊）, then the spectral mapping theorem holds for the Weyl spectrum and for the essential approximate point spectrum, and if T is a k-quasi-＊-A operator and N（T） lohtain in N（T^＊）, S - T, then a-Browder＇s theorem holds for every f∈H（σ（S））.