| 无穷维Hamilton算子的二次数值域 |
| |
| 引用本文： | 吴德玉,阿拉坦仓.无穷维Hamilton算子的二次数值域[J].数学的实践与认识,2009,39(21). |
| |
| 作者姓名： | 吴德玉 阿拉坦仓 |
| |
| 作者单位： | 内蒙古大学数学科学学院,内蒙古,呼和浩特,010021 |
| |
| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研基金 |
| |
| 摘 要： | 研究了一类无界无穷维Hamilton算子的二次数值域的性质,进而,应用二次数值域来刻画了无穷维Hamilton算子谱的分布范围,并给出了二次数值域的闭包包含谱集的结论.
|
| 关 键 词： | 无穷维Hamilton算子 数值域 二次数值域 点谱 剩余谱 连续谱 |
Quadratic N umerical Range of Infinite Dimensional Hamiltonian Operator |
| |
| WU De-yu,Alatancang.Quadratic N umerical Range of Infinite Dimensional Hamiltonian Operator[J].Mathematics in Practice and Theory,2009,39(21). |
| |
| Authors: | WU De-yu Alatancang |
| |
| Abstract: | The quadratic numerical range of a class of unbounded infinite dimensional Hamiltonian operators are studied. Furthermore, by applying the quadratic numerical range the usual spectrum of infinite dimensional Hamiltonian operator is localized and the conclusion that closure of the quadratic numerical range contains the spectrum is shown. |
| |
| Keywords: | Infinite dimensional Hamiltonian operator Numerical range quadratic numerical range point spectrum residual spectrum continuous spectrum |
| 本文献已被 万方数据 等数据库收录！ |
