| 缺项无穷维Hamilton算子的纯虚谱补 |
| |
| 引用本文： | 侯国林,阿拉坦仓. 缺项无穷维Hamilton算子的纯虚谱补[J]. 内蒙古大学学报(自然科学版), 2009, 40(1) |
| |
| 作者姓名： | 侯国林 阿拉坦仓 |
| |
| 作者单位： | 内蒙古大学数学科学学院,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,内蒙古自治区自然科学基金,内蒙古大学高层次引进人才科研启动基金 |
| |
| 摘 要： | 在充分利用无穷维Hamilton算子结构特性的基础上,完全刻画了上三角型缺项无穷维Hamilton算子纯虚点谱的并集、纯虚剩余谱的并集和纯虚连续谱的并集,并将上述结论在一定条件下推广到了四块情形.
|
| 关 键 词： | 无穷维Hamilton算子 缺项算子 点谱 剩余谱 连续谱 |
Completions of Pure Spectra of Partial Infinite-Dimensional Hamiltonian Operators |
| |
| HOU Guo-lin,Alatancang. Completions of Pure Spectra of Partial Infinite-Dimensional Hamiltonian Operators[J]. Acta Scientiarum Naturalium Universitatis Neimongol, 2009, 40(1) |
| |
| Authors: | HOU Guo-lin Alatancang |
| |
| Affiliation: | School of Mathematical Sciences;Inner Mongolia University;Hohhot 010021;China |
| |
| Abstract: | The unions of pure spectra of upper triangular infinite-dimensional Hamiltonian operators are completely described by using structural characteristics of the operators sufficiently,which include the pure point spectrum,pure residual spectrum and pure continuous spectrum.Then the results are generalized to the case of forth block under some assumptions. |
| |
| Keywords: | infinite-dimensional Hamiltonian operator partial operator matrix point spectrum residual spectrum continuous spectrum |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
