Acta mathematica scientia,Series B ›› 2014, Vol. 34 ›› Issue (6): 1922-1934.doi: 10.1016/S0252-9602(14)60135-1

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STABILITY OF THE S-LEFT AND S-RIGHT ESSENTIAL SPECTRA OF A LINEAR OPERATOR

Aymen AMMAR|Bilel BOUKETTAYA|Aref JERIBI   

  1. D´epartement de Math´ematiques, Facult´e des Sciences de Sfax, Universit´e de Sfax, Route de Soukra Km 3.5, B.P. 1171, 3000, Sfax, Tunisie
  • Received:2012-10-30 Revised:2014-01-19 Online:2014-11-20 Published:2014-11-20
  • Contact: Aref JERIBI,Aref.Jeribi@fss.rnu.tn E-mail:ammar aymen84@yahoo.fr; boukettayabilel@gmail.com; Aref.Jeribi@fss.rnu.tn

Abstract:

In the present paper, we define the S-left and the S-right essential spectra of a linear operator and we study the stability of the S-essential spectra on a Banach space.

Key words: S-left essential spectra, S-right essential spectra, Fredholm perturbation, Riesz operator

CLC Number: 

  • 47A53
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