| 广义(ω)性质的一个注记 |
| |
| 引用本文： | 戴磊,曹小红,孙晨辉.广义(ω)性质的一个注记[J].数学学报,2010,53(2):219-226. |
| |
| 作者姓名： | 戴磊 曹小红 孙晨辉 |
| |
| 作者单位： | 陕西师范大学数学与信息科学学院; |
| |
| 基金项目： | 国家自然科学基金资助项目(10726043); 教育部新世纪优秀人才支持计划资助项目 |
| |
| 摘 要： | 通过定义新的谱集,研究了Weyl定理的一个变形—广义(w)性质,给出了Banach空间上有界线性算子满足广义(w)性质的充要条件.同时,利用所得的主要结论,我们研究了广义(w)性质的摄动.
|
| 关 键 词： | 广义α-Weyl定理 广义(ω)性质 谱 |
| 收稿时间： | 2008-11-24 |
| 修稿时间： | 2009-04-09 |
A Note on Generalized Property (ω) |
| |
| Lei DAI Xiao Hong CAO Chen Hui SUN College of Mathematics , Information Science,Shaanxi Normal University,Xi\'an ,P.R.China.A Note on Generalized Property (ω)[J].Acta Mathematica Sinica,2010,53(2):219-226. |
| |
| Authors: | Lei DAI Xiao Hong CAO Chen Hui SUN College of Mathematics Information Science Shaanxi Normal University Xi\'an PRChina |
| |
| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi'an 710062, P. R. China |
| |
| Abstract: | In this note we study the generalized property (ω), a variant of generalized Weyl's theorem, by means of the new spectrum. We establish for a bounded linear operator defined on a Banach space a sufficient and necessary condition for which generalized property (ω) holds. As a consequence of the main result, the stability of generalized property (ω) is considered. |
| |
| Keywords: | generalized a-Weyl&rsquo s theorem generalized property (&omega ) spectrum |
| 本文献已被 CNKI 等数据库收录！ |
| 点击此处可从《数学学报》浏览原始摘要信息 |
| 点击此处可从《数学学报》下载免费的PDF全文 |
|
