无穷维Hamilton算子的数值域

阿拉坦仓,海国君,吴德玉

系统科学与数学 ›› 2013, Vol. 33 ›› Issue (4) : 506-510.

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PDF(290 KB)
系统科学与数学 ›› 2013, Vol. 33 ›› Issue (4) : 506-510. DOI: 10.12341/jssms12080
论文

无穷维Hamilton算子的数值域

    阿拉坦仓,海国君,吴德玉
作者信息 +

NUMERICAL RANGE OF INFINITE DIMENSIONAL HAMILTONIAN OPERATOR

    Alatancang, HAI Guojun, WU Deyu
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文章历史 +

摘要

研究了无穷维Hamilton算子的数值域.首先得到了无穷维Hamilton算子的数值域和谱集之间的关系.其次给出无穷维Hamilton算子的数值域关于虚轴对称的充分条件.最后举例验证了我们结论的正确性.

Abstract

In this paper, the numerical range of infinite dimensional Hamiltonian operator is studied. Firstly a relationship between the spectrum and the numerical range for infinite dimensional Hamiltonian operator is considered. Then, a sufficient condition is obtained for the numerical range of infinite dimensional Hamiltonian perator to be symmetric with respect to imaginary axis. Finally, an example is given to illustrate the crrectness of our results.

关键词

无穷维Hamilton算子 / 数值域 / 谱.

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阿拉坦仓,海国君,吴德玉. 无穷维Hamilton算子的数值域. 系统科学与数学, 2013, 33(4): 506-510. https://doi.org/10.12341/jssms12080
Alatancang, HAI Guojun, WU Deyu. NUMERICAL RANGE OF INFINITE DIMENSIONAL HAMILTONIAN OPERATOR. Journal of Systems Science and Mathematical Sciences, 2013, 33(4): 506-510 https://doi.org/10.12341/jssms12080
中图分类号: 47A12    47A10    47B99   
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