广义Kato分解与Weyl型定理

数学物理学报 ›› 2019, Vol. 39 ›› Issue (3): 417-422.

• 论文 • 下一篇

广义Kato分解与Weyl型定理

陈俐宏(),苏维钢*()

福建师范大学数学与信息学院福州 350117

收稿日期:2018-03-13 出版日期:2019-06-26 发布日期:2019-06-27
通讯作者: 苏维钢 E-mail:chenlh2016@163.com;wgsu@fjnu.edu.cn
作者简介:陈俐宏, chenlh2016@163.com
基金资助:
国家自然科学基金(11171066);福建省自然科学基金(2013J01003)

Generalized Kato Decomposition and Weyl Type Theorems

Lihong Chen(),Weigang Su*()

School of Mathematics and Information, Fujian Normal University, Fuzhou 350117

Received:2018-03-13 Online:2019-06-26 Published:2019-06-27
Contact: Weigang Su E-mail:chenlh2016@163.com;wgsu@fjnu.edu.cn
Supported by:
the NSFC(11171066);the Natural Science Foundation of Fujian Province(2013J01003)

摘要/Abstract

摘要：

该文利用算子的广义Kato分解特征，从广义Kato谱的角度探讨了有界线性算子满足Browder定理和Weyl定理的充要条件.

关键词: 广义Kato分解, Browder定理, Weyl定理

Abstract:

Using the character of generalized Kato decomposition, this paper discusses the sufficient and necessary conditions for which Browder's theorem and Weyl's theorem hold from the angle of generalized Kato spectrum for a bounded linear operator.

Key words: Generalized Kato decomposition, Browder's theorem, Weyl's theorem

中图分类号:

O177.2

陈俐宏,苏维钢. 广义Kato分解与Weyl型定理[J]. 数学物理学报, 2019, 39(3): 417-422.

Lihong Chen,Weigang Su. Generalized Kato Decomposition and Weyl Type Theorems[J]. Acta mathematica scientia,Series A, 2019, 39(3): 417-422.

参考文献 8

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广义Kato分解与Weyl型定理

Generalized Kato Decomposition and Weyl Type Theorems

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