摘要
研究了4×4上三角无穷维Hamilton算子的点谱、剩余谱与四次数值域的包含关系,得到其四次数值域关于实轴、虚轴对称的充分条件.最后,举例验证了结论的正确性.
The inclusion relationships of the point spectrum,residual spectrum and biquadratic numerical range of upper triangular infinite dimensional Hamiltonian operators are studied.Moreover,a sufficient condition is obtained for the biquadratic numerical range of the operators to be symmetric with respect to the real axis and imaginary axis.Finally,an example is constructed to illustrate the correctness of the results.
出处
《内蒙古大学学报（自然科学版）》
CAS
CSCD
北大核心
2012年第3期225-230,共6页
Journal of Inner Mongolia University：Natural Science Edition
基金
国家自然科学基金资助项目(10962004)
内蒙古自然科学基金资助项目(20080404MS0104)
关键词
无穷维HAMILTON算子
n-次数值域
四次数值域
点谱
剩余谱
infinite dimensional Hamiltonian operator
n-numerical range
biquadratic numerical range
point spectrum
residual spectrum
