基于二次算子族的无界Hamilton算子根向量组的基性质 乔艳芬, 侯国林, 阿拉坦仓1. 内蒙古大学数学科学学院 呼和浩特 010021;
2. 呼和浩特民族学院 呼和浩特 010051 The Basis Property of Root Vector Systems of Unbounded Hamiltonian Operators via Quadratic Operator Pencils Yan Fen QIAO, Guo Lin HOU, Alatancang1. School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021, P. R. China;
2. Hohhot Minzu College, Hohhot 010051, P. R. China

摘要 图/表 参考文献 相关文章 全文: PDF(660 KB) HTML (1 KB) 输出: BibTeX | EndNote (RIS) 摘要利用无界Hamilton算子导出的二次算子族，本文研究了一类无界Hamilton算子根向量组的Schauder基性质.首先，建立了无界Hamilton算子的根向量与相应的二次算子族的根向量之间的关系.其次，借助二次算子族谱的相关性质，刻画了无界Hamilton算子的本征值分布以及本征值的代数指标，并得到了无界Hamilton算子的根向量组是某个Hilbert空间的一个块状Schauder基的充要条件.最后，将所得结果应用于矩形薄板弯曲问题. 服务 加入引用管理器 E-mail Alert RSS 收稿日期: 2018-10-29 MR (2010): O175.3 O175.9 基金资助:国家自然科学基金（11861048，11761029）；高等学校青年科技英才计划项目（NJYT-15-B03）；内蒙古自治区自然科学基金（2016MS0105）及“草原英才”工程青年科技创新人才资助项目 通讯作者:侯国林E-mail: smshgl@imu.edu.cn 作者简介: 乔艳芬,E-mail:yanfenqiao@mail.imu.edu.cn;阿拉坦仓,E-mail:alatanca@imu.edu.cn 引用本文: 乔艳芬, 侯国林, 阿拉坦仓. 基于二次算子族的无界Hamilton算子根向量组的基性质[J]. 数学学报, 2019, 62(4): 613-632. Yan Fen QIAO, Guo Lin HOU, Alatancang. The Basis Property of Root Vector Systems of Unbounded Hamiltonian Operators via Quadratic Operator Pencils. 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