Journal of Jilin University Science Edition ›› 2019, Vol. 57 ›› Issue (2): 199-205.

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

GUO Qi1, CAO Xiaohong1, DAI Lei2   

  1. 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

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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

CLC Number: 

  • O177.2
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