性质(H)及其摄动

数学物理学报 ›› 2019, Vol. 39 ›› Issue (6): 1281-1290.

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性质(H)及其摄动

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:2018-09-05 出版日期:2019-12-26 发布日期:2019-12-28
通讯作者: 苏维钢 E-mail:chenlh2016@163.com;wgsu@fjnu.edu.cn
作者简介:陈俐宏, E-mail: 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)

Property (H) and Perturbations

Lihong Chen(),Weigang Su*()

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

Received:2018-09-05 Online:2019-12-26 Published:2019-12-28
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：

该文定义了两种新的谱性质：性质（H）和性质（gH），并探讨了这两种谱性质同其它Weyl型定理之间的关系，最后研究了这两种谱性质在可交换的幂零算子、拟幂零算子、有限秩算子和Riesz算子摄动下的稳定性.

关键词: Banach空间, Weyl型定理, 性质(H)和性质(gH), 摄动

Abstract:

This paper introduces two new spectral properties (H) and (gH), and investigates the two properties in connection with Weyl type theorems. Also the preservation of the two properties are studied under commuting nilpotent, quasi-nilpotent, finite rank or Riesz perturbation.

Key words: Banach space, Weyl type theorems, Property (H) and (gH), Perturbation

中图分类号:

O177.2

陈俐宏,苏维钢. 性质(H)及其摄动[J]. 数学物理学报, 2019, 39(6): 1281-1290.

Lihong Chen,Weigang Su. Property (H) and Perturbations[J]. Acta mathematica scientia,Series A, 2019, 39(6): 1281-1290.

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性质(H)及其摄动

Property (H) and Perturbations

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