| 曹小红,郭懋正,孟彬.Browder定理和Weyl定理(英文)[J].数学研究及应用,2004,24(4):571~576 |
| Browder定理和Weyl定理(英文) |
| Browder's Theorem and Weyl's Theorem |
| 投稿时间：2003-01-13 |
| DOI：10.3770/j.issn:1000-341X.2004.04.001 |
| 中文关键词: Browder定理 Weyl定理 谱 |
| 英文关键词:Browder's theorem Weyl's theorem spectrum. |
| 基金项目: |
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| 中文摘要: |
| 本文通过定义两个新的谱集,给出了Browder定理和Weyl定理对算子T以及f(T)成立的充要条件,其中f∈H(σ(T)),H(σ(T))表示在谱集σ(T)的开邻域上解析的函数的全体。 |
| 英文摘要: |
| In this paper, by defining two new spectral sets, we give the necessary and sufficient conditions for Browder's theorem and Weyl's theorem for bounded linear operator T and f(T), where f∈H(σ(T)) and H(σ(T)) denotes the set of all analytic functions on an open neighborhood of σ(T). |
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