有界线性算子(ω)性质的判定

吉林大学学报(理学版) ›› 2019, Vol. 57 ›› Issue (2): 199-205.

有界线性算子(ω)性质的判定

郭奇^1, 曹小红^1, 戴磊²

1. 陕西师范大学数学与信息科学学院, 西安 710119; 2. 渭南师范学院数理学院, 陕西渭南 714000

收稿日期:2018-01-09 出版日期:2019-03-26 发布日期:2019-03-25
通讯作者: 曹小红 E-mail:xiaohongcao@snnu.edu.cn

udgement of Property (ω) of Bounded Linear Operators

GUO Qi¹, CAO Xiaohong¹, DAI Lei^2

1. School of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710119, China;
2. School of Mathematics and Physics, Weinan Normal University, Weinan 714000, Shaanxi Province, China

Received:2018-01-09 Online:2019-03-26 Published:2019-03-25
Contact: CAO Xiaohong E-mail:xiaohongcao@snnu.edu.cn

摘要/Abstract

摘要： 根据Hilbert空间上有界线性算子的单值延拓性质定义算子的一种新谱, 并利用该谱及有界线性算子的单值延拓性质和Kato性质, 得到了Hilbert空间上有界线性算子的(ω₁)性质与(ω)性质新的判定方法.

关键词: (ω₁)性质, (ω)性质, 单值延拓性质

Abstract: We defined a new spectrum of operators based on the single valued extension property of bounded linear operators on a Hilbert space. Using the spectrum, the single valued extension property and Kato property of bounded linear operators, we obtained a new judgement method for the property (ω₁) and the property (ω) of bounded linear operators on a Hilbert space.

Key words: property (ω₁), property (ω), single valued extension property

中图分类号:

O177.2

郭奇, 曹小红, 戴磊. 有界线性算子(ω)性质的判定[J]. 吉林大学学报(理学版), 2019, 57(2): 199-205.

GUO Qi, CAO Xiaohong, DAI Lei. udgement of Property (ω) of Bounded Linear Operators[J]. Journal of Jilin University Science Edition, 2019, 57(2): 199-205.

[1]	戴磊. CFI算子与(ω)性质[J]. 吉林大学学报(理学版), 2019, 57(5): 1007-1013.
[2]	刘俊慧, 曹小红, 董炯. Weyl型定理与单值延拓性质的等价性[J]. 吉林大学学报(理学版), 2016, 54(05): 969-976.