Journal of Jilin University Science Edition ›› 2023, Vol. 61 ›› Issue (4): 815-822.

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Topological Uniform Descent Property and Property (UWΠ) for Linear Operators

ZHANG Tengjie, CAO Xiaohong   

  1. College of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, China
  • Received:2022-09-15 Online:2023-07-26 Published:2023-07-26

Abstract: We  gave necessary and sufficient conditions for bounded linear operators and their operator functions to satisfy the property
 (UWΠ) by using the spectrum sets defined by topological uniform descent property, commonly used spectrum sets and some properties of operators themselves, and discussed  the perturbation problems of property (UWΠ).

Key words: linear operator, property (UWΠ), topological uniform descent, spectrum

CLC Number: 

  • O177.2