摘要
研究了一类无穷维Hamilton算子近似点谱的范围.进而,当此类无穷维Hamilton算子是辛自伴算子时,给出了它的谱范围.并刻画了分块对角算子的近似点谱.最后举例说明了判别准则的有效性.
In this paper, the range of approximate point spectrum of a class of infinite dimensional Hamiltonian operators is studied. Furthermore, the range of spectrum of the class of infinite dimensional Hamiltonian operators which are symplectic adjoint operators is estimated. The approximate point spectrum of diagonal block operators is also obtained. In the end, a concrete example is constructed to illustrate the effectiveness of the criterions.
出处
《应用数学学报》
CSCD
北大核心
2013年第4期640-645,共6页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(10962004
11101200)
内蒙古大学资助研究生科研(2-121-131)资助项目
关键词
无穷维HAMILTON算子
谱
近似点谱
辛自伴
infinite dimensional Hamiltonian operator
spectrum
approximate point spectrum
symplectic adjoint
