辛对称Hamilton算子值域的闭性  

Closedness of Range of Symplectic Symmetric Hamiltonian Operators

作　　者：李政长 黄俊杰[1] 阿拉坦仓[2] LI Zhengzhang;HUANG Junjie;ALATANCANG3(School of Mathematical Sciences,Inner Mongolia University,Hohhot 010021,China;Department of Mathematics,Hohhot Minzu College,Hohhot 010051,China)

机构地区：[1]内蒙古大学数学科学学院,呼和浩特010021 [2]呼和浩特民族学院数学系,呼和浩特010051

出　　处：《数学年刊（A辑）》2019年第4期449-456,共8页Chinese Annals of Mathematics

基　　金：国家自然科学基金(No.11461049,No.11761029);内蒙古自治区自然科学基金(No.2017MS0118)的资助

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.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.

关 键 词：辛对称Hamilton算子 闭算子 值域 可逆性 

分 类 号：O175.3[理学—数学]