| 李政长,黄俊杰,阿拉坦仓.辛对称Hamilton算子值域的闭性[J].数学年刊A辑,2019,40(4):449~456 |
| 辛对称Hamilton算子值域的闭性 |
| Closedness of Range of Symplectic Symmetric Hamiltonian Operators |
| Received:July 10, 2017 Revised:November 26, 2018 |
| DOI：10.16205/j.cnki.cama.2019.0034 |
| 中文关键词: Symplectic symmetric Hamiltonian operator, Closed operator, Range, Invertibility |
| 英文关键词:Symplectic symmetric Hamiltonian operator, Closed operator, Range, Invertibility |
| 基金项目: |
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| 中文摘要: |
| 利用扰动理论和算子矩阵的因式分解, 研究了辛对称Hamilton算子值域的闭性.
针对对角占优、上行占优等情形, 在一定条件下给出了值域闭性的若干描述,
并得到了一般情形的结果. |
| 英文摘要: |
| Using the perturbation theory and the factorization of operator matrices,
the authors investigate the closedness of range of symplectic symmetric Hamiltonian operators.
Some descriptions on closedness of range are given for the cases such as diagonal dominant and upper dominant,
and the results for the general case are actually presented. |
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