| *仿正规算子的Weyl定理以及超循环性 |
| |
| 引用本文： | 戴磊,曹小红,孙晨辉.*仿正规算子的Weyl定理以及超循环性[J].山东大学学报(理学版),2009,44(1):53-58. |
| |
| 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,陕西,西安,710062
|
| |
| 基金项目： | 国家自然科学基金，教育部新世纪优秀人才支持计划 |
| |
| 摘 要： | Weyl定理和超循环性问题与数学量子力学有着密切的联系, 与物理学 和量子力学中的许多问题相关联的算子都满足Weyl定理或者具有超循环性。 运用代数*仿正规算子的谱的特点, 研究了代数*仿正规算子的Weyl定理以及超循环性。
|
| 关 键 词： | Weyl定理 代数*仿正规算子 谱 超循环算子 |
| 收稿时间： | 2008-05-08 |
Weyl's theorem and hypercyclicity for algebraically *-paranormal operators |
| |
| DAI Lei,CAO Xiao-hong,SUN Chen-hui.Weyl's theorem and hypercyclicity for algebraically *-paranormal operators[J].Journal of Shandong University,2009,44(1):53-58. |
| |
| Authors: | DAI Lei CAO Xiao-hong SUN Chen-hui |
| |
| Institution: | College of Mathematics and Information Science, Shaanxi Normal University, Xi′an 710062, Shaanxi, China |
| |
| Abstract: | Weyl's theosem and hypercyclicity are relative to mathematical quantum mechanics,since the corresponding operators in many questions in physics and quantum mechanics satisfy Weyl's theorem or have hypercyclicity. using spectral characteristic of algebraically *-paranormal operators,Weyl's theorem and hypercyclicity for algebraically *-paranormal operators were studied. |
| |
| Keywords: | Weyl's theorem algebraically *-paranormal operator spectrum hypercyclic operator |
| 本文献已被 CNKI 万方数据 等数据库收录！ |
| 点击此处可从《山东大学学报(理学版)》浏览原始摘要信息 |
| 点击此处可从《山东大学学报(理学版)》下载免费的PDF全文 |
