Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (3): 942-954.doi: 10.1016/S0252-9602(12)60071-X

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BROWDER AND SEMI-BROWDER OPERATORS

Fatma Fakhfakh, Maher Mnif   

  1. D´epartement de Math´ematiques, Universit´e de Sfax, Facult´e des Sciences de Sfax, Route de Soukra, Km 3.5, B.P. 1171, 3000 Sfax, Tunisie
  • Received:2010-04-15 Revised:2011-09-02 Online:2012-05-20 Published:2012-05-20

Abstract:

In this article, we study characterization, stability, and spectral mapping the-orem for Browder's essential spectrum, Browder's essential defect spectrum and Browder's essential approximate point spectrum of closed densely defined linear operators on Banach
spaces.

Key words: Browder and semi-Browder operators, Browders essential spectrum, Brow-ders essential defect spectrum, Browders essential approximate point spec-trum

CLC Number: 

  • 47A10
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