Browder's Theorem and Weyl's Theorem
Received:January 13, 2003  
Key Word: Browder's theorem   Weyl's theorem   spectrum.  
Fund ProjectL:
Author NameAffiliation
CAO Xiao-hong College of Math. & Info. Sci
Shaanxi Normal University
Xi'an
China 
GUO Mao-zheng School of Math. Sci.
Peking University
Beijing
China 
MENG Bin College of Math. & Info. Sci
Shaanxi Normal University
Xi'an
China 
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Abstract:
      In this paper, by defining two new spectral sets, we give the necessary and sufficient conditions for Browder's theorem and Weyl's theorem for bounded linear operator T and f(T), where f∈H(σ(T)) and H(σ(T)) denotes the set of all analytic functions on an open neighborhood of σ(T).
Citation:
DOI:10.3770/j.issn:1000-341X.2004.04.001
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