JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (10): 83-87.doi: 10.6040/j.issn.1671-9352.0.2020.083

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Judgement of(ω)property for operators functional calculus

JIANG Hu, CAO Xiao-hong*   

  1. School of Mathematics and Information Science, Shaanxi Normal University, Xian 710119, Shaanxi, China
  • Online:2020-10-20 Published:2020-10-07

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Abstract: A new spectrum set is defined basing on the semi-Fredholm perturbation theory, and by using this spectrum set, this paper characterizes the(ω)property for the bounded linear operators and their functional calculus.

Key words: (ω) property, spectrum, approximate point spectrum, essential approximate point spectrum

CLC Number: 

  • O177.2
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