| 半退化型离散哈密顿系统本质谱下方的特征值(英文) |
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| 引用本文： | 周美秀,王欣阵,綦建刚. 半退化型离散哈密顿系统本质谱下方的特征值(英文)[J]. 数学进展, 2012, 0(1): 102-112 |
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| 作者姓名： | 周美秀 王欣阵 綦建刚 |
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| 作者单位： | 浙江广播电视大学开放与远程教育研究院;浙江长征职业技术学院基础部;山东大学威海分校数学与统计学院 |
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| 基金项目： | partially supported by NSF of Shandong Province(No.Y2008A02) |
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| 摘 要： | 本文给出了半退化型离散哈密顿系统强极限点型的判别准则,并且利用函数M(λ)的性质和Hilbert空间算子谱理论,得到了在相应的最小算子下界下方特征值存在个数的判别准则.
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| 关 键 词： | 离散哈密顿系统 极限点(圆)型 强极限点型 最大(小)算子 |
Eigenvalues Below the Essential Spectrum of Semi-degenerate Discrete Hamiltonian System |
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| ZHOU Meixiu,WANG Xinzhen,QI Jiangang. Eigenvalues Below the Essential Spectrum of Semi-degenerate Discrete Hamiltonian System[J]. Advances in Mathematics(China), 2012, 0(1): 102-112 |
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| Authors: | ZHOU Meixiu WANG Xinzhen QI Jiangang |
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| Affiliation: | 1.Open and Distance Education Research Institute,Zhejiang Radio & Television University, Hangzhou,Zhejiang,310030,P.R.China;2.Basic Department,Zhejiang Changzheng Vocational & Technology College,Hangzhou,Zhejiang,310023,P.R.China;3.Faculty of Mathematics and Statistics,Shandong University at Weihai,Weihai,Shandong,264209,P.R.China) |
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| Abstract: | In this paper,criteria for strong limit point case of the semi-degenerate discrete Hamiltonian system are established.Furthermore,using M(λ) theory and spectral theory of self-adjoint operator in Hilbert space,we give the estimations of the number of eigenvalues below the lower bound of the minimal operator. |
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| Keywords: | discrete Hamiltonian system limit point(circle) case strong limit point case the maximal(minimal) operator |
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