J4 ›› 2012, Vol. 47 ›› Issue (4): 24-27.

• Articles • Previous Articles     Next Articles

Judgement for the stability of Weyl′s theorem

SHI Wei-juan, CAO Xiao-hong*   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China
  • Received:2011-09-02 Online:2012-04-20 Published:2012-06-28

Abstract:

An operator T is said to satisfy Browder′s theorem if σ(T)\σw(T)π00(T), where σ(T) and σw(T) denote the spectrum and the Weyl spectrum respectively, and π00(T)={λ∈iso σ(T),0

Key words: Browder′s theorem; compact perturbations; semi-Fredholm domain

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