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.
出处
《数学杂志》
CSCD
北大核心
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)
