无穷维Hamilton算子的本质谱

数学物理学报 ›› 2018, Vol. 38 ›› Issue (3): 476-483.

无穷维Hamilton算子的本质谱

李玉丹¹, 吴德玉¹, 阿拉坦仓²

1 内蒙古大学数学科学学院呼和浩特 010021;
2 呼和浩特民族学院呼和浩特 010050

收稿日期:2016-09-13 修回日期:2017-09-04 出版日期:2018-06-26 发布日期:2018-06-26
通讯作者: 吴德玉 E-mail:15164741775@163.com
基金资助:
国家自然科学基金（11561048，11371185）和内蒙古自然科学基金（2015MS0116）

The Essential Spectra of Infinite Dimensional Hamilton Operator

Li Yudan¹, Wu Deyu¹, Alatancang²

1 School of Mathematical Sciences, Inner Mongolia University, Hohhot 010021;
2 Hohhot Minzu College, Hohhot 010050

Received:2016-09-13 Revised:2017-09-04 Online:2018-06-26 Published:2018-06-26
Supported by:
Supported by the NSFC (11561048, 11371185) and the Natural Science Foundation of Inner Mongolia (2015MS0116)

摘要/Abstract

摘要： 该文主要研究了无穷维Hamilton算子的本质谱，给出了在包含于Fredholm扰动集合的有界线性算子的任意非零闭双边理想上，无穷维Hamilton算子的本质谱与其Schur补的本质谱的关系.

关键词: 无穷维Hamilton算子, 本质谱, Fredholm扰动

Abstract: In this paper, the essential spectra of infinite dimensional Hamilton operator on Hilbert spaces is studied. Under perturbations belonging to any closed two-sided ideal of the algebra of bounded linear operators contained in the set of Fredholm perturbations, the relationship between the essential spectra of infinite dimensional Hamilton operator and the essential spectra of its Schur complement is given.

Key words: Infinite dimensional Hamilton operator, Essential spectra, Fredholm perturbation

中图分类号:

O177.1

李玉丹, 吴德玉, 阿拉坦仓. 无穷维Hamilton算子的本质谱[J]. 数学物理学报, 2018, 38(3): 476-483.

Li Yudan, Wu Deyu, Alatancang. The Essential Spectra of Infinite Dimensional Hamilton Operator[J]. Acta mathematica scientia,Series A, 2018, 38(3): 476-483.

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