摘要
本文研究Hamilton算子矩阵生成压缩半群的问题,采用对角元算子的耗散性刻画整个算子的耗散性,借助空间分解和二次补描述右半实轴包含于整体算子的预解集,进而给出若干半群生成的充分必要条件.
This paper deals with the problem for Hamiltonian operator matrices to generate contraction semigroups. The dissipativity of the operator matrix is characterized by those of its diagonal entries. By means of space decomposition and quadratic complements, it is described that the right real axis is contained in the resolvent set of the operator matrix. Based on these properties, some necessary and sufficient conditions on semigroup generation are further given.
出处
《中国科学：数学》
CSCD
北大核心
2015年第4期373-380,共8页
Scientia Sinica：Mathematica
基金
国家自然科学基金(批准号:11461049和11371185)
内蒙古自然科学基金(批准号:2013JQ01和2013ZD01)资助项目
关键词
Hamilton算子矩阵
压缩半群
数值域
二次补
空间分解
Hamiltonian operator matrix
contraction semigroup
numerical range
quadratic complement
space decomposition
