| 阿拉坦仓,侯国林,韩胜菊.一类无穷维Hamilton算子的可逆性[J].,2008,(2):304-307 |
| 一类无穷维Hamilton算子的可逆性 |
| Invertibility for a class of infinite dimensional Hamiltonian operators |
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| DOI：10.7511/dllgxb200802027 |
| 中文关键词: 无穷维Hamilton算子 非负无穷维Hamilton算子 可逆性 |
| 英文关键词: infinite dimensional Hamiltonian operator non-negatively infinite dimensional Hamiltonian operator invertibility〖=〗〖HJ〗〖JP〗〖LM〗 |
| 基金项目:国家自然科学基金资助项目(10562002)；内蒙古自然科学基金资助项目(200508010103)；高等学校博士学科点专项科研基金资助项目(20070126002)；内蒙古大学青年基金资助项目(ND0407)；内蒙古大学博士科研启动基金资助项目(2007). |
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| 中文摘要: |
| 无穷维Hamilton算子来源于无穷维Hamilton系统, 它具有深刻的力学背景和应用前景．利用空间分解的方法和分块算子矩阵技巧, 得到了一类无穷维Hamilton算子具有有界逆的充分必要条件, 并将所得结果与文献中的已有结果进行了比较．最后举例验证了结果的正确性． |
| 英文摘要: |
| The infinite dimensional Hamiltonian operator comes from the infinite dimensional Hamiltonian system, which has deep mechanic background and applied foreground. In this note, the sufficient and necessary condition of bounded invertibility for a class of infinite dimensional Hamiltonian operators is obtained by using space decomposition and block operator matrices. Moreover, the result is compared with the documentary results. At last, the validity of this result is shown by several test examples. |
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