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性质(gz)与广义Weyl型定理

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性质(gz)与广义Weyl型定理 戴磊1,2, 姚若侠11. 陕西师范大学计算机科学学院, 西安 710062;
2. 渭南师范学院数理学院, 渭南 714099 Property (gz) and Generalized Weyl Type Theorem DAI Lei1,2, RAO Ruoxia11. School of Computer Science, Shaanxi Normal University, Xi'an 710062, China;
2. School of Mathematics and Physics, Weinan Normal University, Weinan 714099, China
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摘要称有界线性算子TLX)满足性质(gz),如果T的上半B-Weyl谱在T的谱集中的补集恰好为T的逼近点谱中孤立的特征值全体.本文首先讨论了性质(gz)与其它广义Weyl型定理之间的关系;然后利用新定义的谱集σ2T)与Drazin谱之间的关系,给出了Banach空间中有界线性算子T及其函数演算满足性质(gz)的等价刻画;最后利用所得结论讨论了弱-HP)类算子的性质(gz).
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收稿日期: 2016-04-15
PACS:O177.2
基金资助:国家自然科学基金(11501419,11471004),渭南市科技计划项目(2016KYJ-3-3),渭南师范学院人才项目(15ZRRC10),渭南师范学院校级特色学科建设项目(14TSXK02),陕西省军民融合项目(12JMR20),渭南师范学院(数学)省扶持学科资助项目.
引用本文:
戴磊, 姚若侠. 性质(gz)与广义Weyl型定理[J]. 应用数学学报, 2017, 40(4): 623-632. DAI Lei, RAO Ruoxia. Property (gz) and Generalized Weyl Type Theorem. Acta Mathematicae Applicatae Sinica, 2017, 40(4): 623-632.
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http://123.57.41.99/jweb_yysxxb/CN/ http://123.57.41.99/jweb_yysxxb/CN/Y2017/V40/I4/623


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