| 无穷维Hamilton算子的可逆性 |
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| 引用本文： | 侯玉双,阿拉坦仓.无穷维Hamilton算子的可逆性[J].内蒙古大学学报(自然科学版),2009,40(1). |
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| 作者姓名： | 侯玉双 阿拉坦仓 |
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| 作者单位： | 1. 内蒙古科技大学理学院,内蒙古,包头,014010;内蒙古大学数学系,呼和浩特,010021
2. 内蒙古大学数学系,呼和浩特,010021 |
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| 基金项目： | 国家自然科学基金，内蒙古自治区自然科学基金 |
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| 摘 要： | 利用空间分解方法研究了无穷维Hamilton算子的可逆性.得到缺项算子矩阵可补为可逆无穷维Hamilton算子,且其逆的一个子块为已知的等价条件,并给出该问题的所有解;此外,还研究了一般的可补为可逆无穷维Hamilton算子的问题.
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| 关 键 词： | 无穷维Hamilton算子 算子矩阵 算子补 逆补 |
Invertibility of Infinite Dimensional Hamiltonian Operators |
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| HOU Yu-shuang,Alatancang.Invertibility of Infinite Dimensional Hamiltonian Operators[J].Acta Scientiarum Naturalium Universitatis Neimongol,2009,40(1). |
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| Authors: | HOU Yu-shuang Alatancang |
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| Institution: | 1.Inner Mongolia University of Science and Technology;College of Science;Baotou 014010;2.Department of Mathematics;Inner Mongolia University;Hohhot 010021;China |
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| Abstract: | Using the method of space decomposition,the invertibility of infinite dimensional Hamiltonian operators is investigated.An equivalent condition is obtained to show that a partial operator matrix can be completed as an invertible infinite dimensional Hamiltonian operator with one entry of its inverse specified,and all solutions of the problem are given.Moreover,the general problem of completing a partial operator matrix as an invertible infinite dimensional Hamiltonian operator is discussed. |
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| Keywords: | infinite dimensional Hamiltonian operator operator matrix operator completion invertible completion |
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