摘要
研究了一类无界无穷维Hamilton算子的二次数值域的性质,进而,应用二次数值域来刻画了无穷维Hamilton算子谱的分布范围,并给出了二次数值域的闭包包含谱集的结论.
The quadratic numerical range of a class of unbounded infinite dimensional Hamiltonian operators are studied. Furthermore, by applying the quadratic numerical range the usual spectrum of infinite dimensional Hamiltonian operator is localized and the conclusion that closure of the quadratic numerical, range contains the spectrum is shown.
出处
《数学的实践与认识》
CSCD
北大核心
2009年第21期186-191,共6页
Mathematics in Practice and Theory
基金
国家自然科学基金(10962004)
高等学校博士学科点专项科研基金(20070126002)
关键词
无穷维HAMILTON算子
数值域
二次数值域
点谱
剩余谱
连续谱
Infinite dimensional Hamiltonian operator
Numerical range
quadratic numerical range
point spectrum
residual spectrum
continuous spectrum
