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The perturbation for the Browder’s theorem of operator matrix#br#

WANG Bi-yu, CAO Xiao-hong*   

  1. College of Mathematics and Information Science, Shaanxi Normal University, Xi’an 710062, Shaanxi, China
  • Received:2013-11-21 Online:2014-03-20 Published:2014-05-29

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Abstract:  Let T=AB
0JA*J∈B(HH), where A,B∈B(H), conjugation J is an antilinear operator on H, which satisfies J2=I and 〈Jx,Jy〉=〈y,x〉 for all x,y∈H. The stability of the single valued extension property and the Browder’s theorem for T under compact perturbations are explored.

Key words: the single valued extension property, the Browder’s theorem, compact perturbations

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