Krein空间中无穷维Hamilton算子的极大确定不变子空间的存在性问题(英文)  

ON EXISTENCE OF MAXIMAL DEFINITE INVARIANT SUBSPACE OF INFINITE DIMENSIONAL HAMILTONIAN OPERATORS IN A KREIN SPACE

作　　者：吴德玉[1] 阿拉坦仓[1] 

机构地区：[1]内蒙古大学数学系,内蒙古呼和浩特010021

出　　处：《数学杂志》2009年第6期733-737,共5页Journal of Mathematics

基　　金：Supported by National Natural Science Foundation of China (10562002);Natural Science Foundation of Inner Mongolia(200508010103)

摘　　要：本文研究了不定度规空间空间中的无穷维Hamilton算子. 利用Plus算子存在极大不变子空间的性质, 获得了无穷维Hamilton算子在Krein空间中存在极大确定不变子空间的充分条件.In this article, we study the infinite dimensional Hamiltonian operator in indefinite inner product space. By applying the property that Plus-operator has maximal invariant subspace, the sufficient conditions for the existence of maximal definite invariant subspace of infi- nite dimensional Hamiltonian operator in a Krein space K9 are given.

关 键 词：穷维Hamilton算子 Plus-算子 KREIN空间 极大正定定不变子空间 极大负定不变子空间 

分 类 号：O175.3[理学—数学]