k-拟-*-A算子的谱性质及其应用Ⅱ 被引量：1

THE SPECTRUM PROPERTIES OF k-QUASI-*-A OPERATOR AND APPLICATION Ⅱ

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摘要摘要主要给出了k-拟-＊-A算子的-些性质，若T是k．拟-＊-A算子，则T有SVEP．作为此性质的应用，证明了若T是k-拟-＊-算子，则B—Weyl谱的谱映射定理成立；若T或T＊是k-拟-＊-A算子，则广义Browder定理对T成立． This paper considers the spectrum properties of k-quasi-＊-A operator. The main result is that if T is a k-quasi-＊-A operator, then T has SVEP. As its application, it is proven that if T is a k-quasi-＊-A operator, then the spectral mapping theorem holds for the B-Weyl spectrum, and that if T or T＊ is a k-quasi-＊-A operator, then generalized Browder theorem holds for T.

作者左飞申俊丽

机构地区河南师范大学数学与信息科学学院新乡学院数学系

出处《系统科学与数学》 CSCD 北大核心 2012年第7期922-926,共5页 Journal of Systems Science and Mathematical Sciences

基金国家自然科学基金天元青年专项基金(10726073) 河南省教育厅科学技术研究重点项目(12B110025 2011A110010)

关键词 k-拟-＊-A算子 B—Weyl谱单值扩展性质广义Browder定理. k-quasi-＊-A operator, B-Weyl spectrum, SVEP, generalized Browder theo- rem.

分类号 O177 [理学—基础数学]

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参考文献17

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共引文献1

1左飞,申俊丽.代数κ-拟--A算子的谱[J].系统科学与数学,2013,33(9):1129-1134.

同被引文献17

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引证文献1

1左飞,申俊丽.代数κ-拟--A算子的谱[J].系统科学与数学,2013,33(9):1129-1134.

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