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一类非负Hamilton算子的谱分布及其可逆性 被引量：4

Spectral Distribution and Its Invertibility of a Class of Nonnegative Hamiltonian Operators
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摘要 本文应用非负Hamilton算子的特殊结构,证明了一类非负Hamilton算子的点谱分布,并且证明了虚轴包含在此类非负Hamilton算子的连续谱和预解集中.由此给出可逆的充要条件. In this paper,applying the special structure of nonnegative Hamiltonian operators, the distribution of point spectrum of a class of nonnegative Hamiltonian operators is obtained.It is proved that imaginary axis is a subset of its continuous spectrum and resolvent set, by the above result, necessary and sufficient condition of invertibility for a class of nonnegative Hamiltonian operators is obtained.
作者 范小英 阿拉坦仓
机构地区 内蒙古大学数学科学学院
出处 《应用数学学报》 CSCD 北大核心 2009年第1期14-18,共5页 Acta Mathematicae Applicatae Sinica
基金 国家自然科学基金(10562002) 高等学校博士学科点专项科研基金(20070126002) 内蒙古自治区自然科学基金(200508010103)资助项目.
关键词 非负Hamilton算子 谱 预解集 nonnegative Hamiltonian operator spectrum resolvent set
分类号 O177.7 [理学—基础数学]
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参考文献13

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应用数学学报
2009年 第1期

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